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Finding the Fourth Proportional to 782.14, 1,172.89 and 392.01

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Solution

The fourth proportional to 782.14, 1,172.89 and 392.01 is: 587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.14 : 1,172.89 = 392.01 : x
  2. Step 2: Convert to fraction form
    782.14/1,172.89 = 392.01/x
  3. Step 3: Cross multiply
    782.14x = 1,172.89 × 392.01
  4. Step 4: Simplify right side
    782.14x = 459,784.61
  5. Step 5: Solve for x
    x = 459,784.61/782.14
  6. Step 6: Final answer
    x = 587.85

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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.