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Finding the Fourth Proportional to 1,008.50, 1,391.72 and 566.44

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Solution

The fourth proportional to 1,008.50, 1,391.72 and 566.44 is: 781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.50 : 1,391.72 = 566.44 : x
  2. Step 2: Convert to fraction form
    1,008.50/1,391.72 = 566.44/x
  3. Step 3: Cross multiply
    1,008.50x = 1,391.72 × 566.44
  4. Step 4: Simplify right side
    1,008.50x = 788,319.57
  5. Step 5: Solve for x
    x = 788,319.57/1,008.50
  6. Step 6: Final answer
    x = 781.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.