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Finding the Fourth Proportional to 924.04, 1,387.74 and 729.64

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Solution

The fourth proportional to 924.04, 1,387.74 and 729.64 is: 1,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.04 : 1,387.74 = 729.64 : x
  2. Step 2: Convert to fraction form
    924.04/1,387.74 = 729.64/x
  3. Step 3: Cross multiply
    924.04x = 1,387.74 × 729.64
  4. Step 4: Simplify right side
    924.04x = 1,012,550.61
  5. Step 5: Solve for x
    x = 1,012,550.61/924.04
  6. Step 6: Final answer
    x = 1,095.79

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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.