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Finding the Fourth Proportional to 724.76, 1,000.14 and 430.16

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Solution

The fourth proportional to 724.76, 1,000.14 and 430.16 is: 593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.76 : 1,000.14 = 430.16 : x
  2. Step 2: Convert to fraction form
    724.76/1,000.14 = 430.16/x
  3. Step 3: Cross multiply
    724.76x = 1,000.14 × 430.16
  4. Step 4: Simplify right side
    724.76x = 430,220.22
  5. Step 5: Solve for x
    x = 430,220.22/724.76
  6. Step 6: Final answer
    x = 593.60

Related Problems

Find fourth proportional to 362.38, 500.07 and 215.08
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.