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Finding the Fourth Proportional to 1,090.84, 1,503.42 and 828.76

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Solution

The fourth proportional to 1,090.84, 1,503.42 and 828.76 is: 1,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.84 : 1,503.42 = 828.76 : x
  2. Step 2: Convert to fraction form
    1,090.84/1,503.42 = 828.76/x
  3. Step 3: Cross multiply
    1,090.84x = 1,503.42 × 828.76
  4. Step 4: Simplify right side
    1,090.84x = 1,245,974.36
  5. Step 5: Solve for x
    x = 1,245,974.36/1,090.84
  6. Step 6: Final answer
    x = 1,142.22

Related Problems

Find fourth proportional to 545.42, 751.71 and 414.38
Half scale
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Double scale
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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.