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Finding the Fourth Proportional to 1,055.70, 1,455.66 and 662.76

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Solution

The fourth proportional to 1,055.70, 1,455.66 and 662.76 is: 913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.70 : 1,455.66 = 662.76 : x
  2. Step 2: Convert to fraction form
    1,055.70/1,455.66 = 662.76/x
  3. Step 3: Cross multiply
    1,055.70x = 1,455.66 × 662.76
  4. Step 4: Simplify right side
    1,055.70x = 964,753.22
  5. Step 5: Solve for x
    x = 964,753.22/1,055.70
  6. Step 6: Final answer
    x = 913.85

Related Problems

Find fourth proportional to 527.85, 727.83 and 331.38
Half scale
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Double scale
Find fourth proportional to 1,056.70, 1,457.04 and 663.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.