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Finding the Fourth Proportional to 1,202.76, 1,659.72 and 678.76

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Solution

The fourth proportional to 1,202.76, 1,659.72 and 678.76 is: 936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.76 : 1,659.72 = 678.76 : x
  2. Step 2: Convert to fraction form
    1,202.76/1,659.72 = 678.76/x
  3. Step 3: Cross multiply
    1,202.76x = 1,659.72 × 678.76
  4. Step 4: Simplify right side
    1,202.76x = 1,126,551.55
  5. Step 5: Solve for x
    x = 1,126,551.55/1,202.76
  6. Step 6: Final answer
    x = 936.64

Related Problems

Find fourth proportional to 601.38, 829.86 and 339.38
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.