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Finding the Fourth Proportional to 1,292.46, 1,937.52 and 470.15

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Solution

The fourth proportional to 1,292.46, 1,937.52 and 470.15 is: 704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.46 : 1,937.52 = 470.15 : x
  2. Step 2: Convert to fraction form
    1,292.46/1,937.52 = 470.15/x
  3. Step 3: Cross multiply
    1,292.46x = 1,937.52 × 470.15
  4. Step 4: Simplify right side
    1,292.46x = 910,925.03
  5. Step 5: Solve for x
    x = 910,925.03/1,292.46
  6. Step 6: Final answer
    x = 704.80

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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.