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Finding the Fourth Proportional to 1,020.75, 1,529.91 and 471.76

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Solution

The fourth proportional to 1,020.75, 1,529.91 and 471.76 is: 707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.75 : 1,529.91 = 471.76 : x
  2. Step 2: Convert to fraction form
    1,020.75/1,529.91 = 471.76/x
  3. Step 3: Cross multiply
    1,020.75x = 1,529.91 × 471.76
  4. Step 4: Simplify right side
    1,020.75x = 721,754.30
  5. Step 5: Solve for x
    x = 721,754.30/1,020.75
  6. Step 6: Final answer
    x = 707.08

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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.