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Finding the Fourth Proportional to 780.32, 1,073.61 and 592.72

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Solution

The fourth proportional to 780.32, 1,073.61 and 592.72 is: 815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.32 : 1,073.61 = 592.72 : x
  2. Step 2: Convert to fraction form
    780.32/1,073.61 = 592.72/x
  3. Step 3: Cross multiply
    780.32x = 1,073.61 × 592.72
  4. Step 4: Simplify right side
    780.32x = 636,350.12
  5. Step 5: Solve for x
    x = 636,350.12/780.32
  6. Step 6: Final answer
    x = 815.50

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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.