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Finding the Fourth Proportional to 924.90, 1,384.59 and 558.57

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Solution

The fourth proportional to 924.90, 1,384.59 and 558.57 is: 836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.90 : 1,384.59 = 558.57 : x
  2. Step 2: Convert to fraction form
    924.90/1,384.59 = 558.57/x
  3. Step 3: Cross multiply
    924.90x = 1,384.59 × 558.57
  4. Step 4: Simplify right side
    924.90x = 773,397.72
  5. Step 5: Solve for x
    x = 773,397.72/924.90
  6. Step 6: Final answer
    x = 836.20

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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.