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Finding the Fourth Proportional to 724.76, 1,000.50 and 476.10

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Solution

The fourth proportional to 724.76, 1,000.50 and 476.10 is: 657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.76 : 1,000.50 = 476.10 : x
  2. Step 2: Convert to fraction form
    724.76/1,000.50 = 476.10/x
  3. Step 3: Cross multiply
    724.76x = 1,000.50 × 476.10
  4. Step 4: Simplify right side
    724.76x = 476,338.05
  5. Step 5: Solve for x
    x = 476,338.05/724.76
  6. Step 6: Final answer
    x = 657.24

Related Problems

Find fourth proportional to 362.38, 500.25 and 238.05
Half scale
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Double scale
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Similar ratio
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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.