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Finding the Fourth Proportional to 1,000.13, 1,501.16 and 487.49

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Solution

The fourth proportional to 1,000.13, 1,501.16 and 487.49 is: 731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.13 : 1,501.16 = 487.49 : x
  2. Step 2: Convert to fraction form
    1,000.13/1,501.16 = 487.49/x
  3. Step 3: Cross multiply
    1,000.13x = 1,501.16 × 487.49
  4. Step 4: Simplify right side
    1,000.13x = 731,798.05
  5. Step 5: Solve for x
    x = 731,798.05/1,000.13
  6. Step 6: Final answer
    x = 731.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.