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Finding the Fourth Proportional to 724.69, 1,000.20 and 430.12

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Solution

The fourth proportional to 724.69, 1,000.20 and 430.12 is: 593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.69 : 1,000.20 = 430.12 : x
  2. Step 2: Convert to fraction form
    724.69/1,000.20 = 430.12/x
  3. Step 3: Cross multiply
    724.69x = 1,000.20 × 430.12
  4. Step 4: Simplify right side
    724.69x = 430,206.02
  5. Step 5: Solve for x
    x = 430,206.02/724.69
  6. Step 6: Final answer
    x = 593.64

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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.