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Finding the Fourth Proportional to 1,020.25, 1,529.15 and 710.42

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Solution

The fourth proportional to 1,020.25, 1,529.15 and 710.42 is: 1,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.25 : 1,529.15 = 710.42 : x
  2. Step 2: Convert to fraction form
    1,020.25/1,529.15 = 710.42/x
  3. Step 3: Cross multiply
    1,020.25x = 1,529.15 × 710.42
  4. Step 4: Simplify right side
    1,020.25x = 1,086,344.34
  5. Step 5: Solve for x
    x = 1,086,344.34/1,020.25
  6. Step 6: Final answer
    x = 1,064.79

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