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Finding the Fourth Proportional to 924.95, 1,387.42 and 486.31

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Solution

The fourth proportional to 924.95, 1,387.42 and 486.31 is: 729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.95 : 1,387.42 = 486.31 : x
  2. Step 2: Convert to fraction form
    924.95/1,387.42 = 486.31/x
  3. Step 3: Cross multiply
    924.95x = 1,387.42 × 486.31
  4. Step 4: Simplify right side
    924.95x = 674,714.54
  5. Step 5: Solve for x
    x = 674,714.54/924.95
  6. Step 6: Final answer
    x = 729.46

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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.