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Finding the Fourth Proportional to 924.82, 1,387.91 and 438.21

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Solution

The fourth proportional to 924.82, 1,387.91 and 438.21 is: 657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.82 : 1,387.91 = 438.21 : x
  2. Step 2: Convert to fraction form
    924.82/1,387.91 = 438.21/x
  3. Step 3: Cross multiply
    924.82x = 1,387.91 × 438.21
  4. Step 4: Simplify right side
    924.82x = 608,197.14
  5. Step 5: Solve for x
    x = 608,197.14/924.82
  6. Step 6: Final answer
    x = 657.64

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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.