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Finding the Fourth Proportional to 731.89, 1,011.05 and 510.76

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Solution

The fourth proportional to 731.89, 1,011.05 and 510.76 is: 705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.89 : 1,011.05 = 510.76 : x
  2. Step 2: Convert to fraction form
    731.89/1,011.05 = 510.76/x
  3. Step 3: Cross multiply
    731.89x = 1,011.05 × 510.76
  4. Step 4: Simplify right side
    731.89x = 516,403.90
  5. Step 5: Solve for x
    x = 516,403.90/731.89
  6. Step 6: Final answer
    x = 705.58

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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.