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Finding the Fourth Proportional to 1,310.77, 1,966.52 and 531.32

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Solution

The fourth proportional to 1,310.77, 1,966.52 and 531.32 is: 797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.77 : 1,966.52 = 531.32 : x
  2. Step 2: Convert to fraction form
    1,310.77/1,966.52 = 531.32/x
  3. Step 3: Cross multiply
    1,310.77x = 1,966.52 × 531.32
  4. Step 4: Simplify right side
    1,310.77x = 1,044,842.90
  5. Step 5: Solve for x
    x = 1,044,842.90/1,310.77
  6. Step 6: Final answer
    x = 797.12

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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.