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Finding the Fourth Proportional to 924.66, 1,387.62 and 681.78

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Solution

The fourth proportional to 924.66, 1,387.62 and 681.78 is: 1,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.66 : 1,387.62 = 681.78 : x
  2. Step 2: Convert to fraction form
    924.66/1,387.62 = 681.78/x
  3. Step 3: Cross multiply
    924.66x = 1,387.62 × 681.78
  4. Step 4: Simplify right side
    924.66x = 946,051.56
  5. Step 5: Solve for x
    x = 946,051.56/924.66
  6. Step 6: Final answer
    x = 1,023.13

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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.