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Finding the Fourth Proportional to 500.76, 689.40 and 430.56

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Solution

The fourth proportional to 500.76, 689.40 and 430.56 is: 592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.76 : 689.40 = 430.56 : x
  2. Step 2: Convert to fraction form
    500.76/689.40 = 430.56/x
  3. Step 3: Cross multiply
    500.76x = 689.40 × 430.56
  4. Step 4: Simplify right side
    500.76x = 296,828.06
  5. Step 5: Solve for x
    x = 296,828.06/500.76
  6. Step 6: Final answer
    x = 592.76

Related Problems

Find fourth proportional to 250.38, 344.70 and 215.28
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.