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Finding the Fourth Proportional to 924.74, 1,387.36 and 486.22

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Solution

The fourth proportional to 924.74, 1,387.36 and 486.22 is: 729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.74 : 1,387.36 = 486.22 : x
  2. Step 2: Convert to fraction form
    924.74/1,387.36 = 486.22/x
  3. Step 3: Cross multiply
    924.74x = 1,387.36 × 486.22
  4. Step 4: Simplify right side
    924.74x = 674,562.18
  5. Step 5: Solve for x
    x = 674,562.18/924.74
  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.