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Finding the Fourth Proportional to 1,007.59, 1,390.31 and 565.43

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Solution

The fourth proportional to 1,007.59, 1,390.31 and 565.43 is: 780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.59 : 1,390.31 = 565.43 : x
  2. Step 2: Convert to fraction form
    1,007.59/1,390.31 = 565.43/x
  3. Step 3: Cross multiply
    1,007.59x = 1,390.31 × 565.43
  4. Step 4: Simplify right side
    1,007.59x = 786,126.33
  5. Step 5: Solve for x
    x = 786,126.33/1,007.59
  6. Step 6: Final answer
    x = 780.21

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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.