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Finding the Fourth Proportional to 1,319.14, 1,978.16 and 538.61

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Solution

The fourth proportional to 1,319.14, 1,978.16 and 538.61 is: 807.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.14 : 1,978.16 = 538.61 : x
  2. Step 2: Convert to fraction form
    1,319.14/1,978.16 = 538.61/x
  3. Step 3: Cross multiply
    1,319.14x = 1,978.16 × 538.61
  4. Step 4: Simplify right side
    1,319.14x = 1,065,444.17
  5. Step 5: Solve for x
    x = 1,065,444.17/1,319.14
  6. Step 6: Final answer
    x = 807.68

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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.