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Finding the Fourth Proportional to 924.86, 1,387.65 and 411.50

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Solution

The fourth proportional to 924.86, 1,387.65 and 411.50 is: 617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.86 : 1,387.65 = 411.50 : x
  2. Step 2: Convert to fraction form
    924.86/1,387.65 = 411.50/x
  3. Step 3: Cross multiply
    924.86x = 1,387.65 × 411.50
  4. Step 4: Simplify right side
    924.86x = 571,017.98
  5. Step 5: Solve for x
    x = 571,017.98/924.86
  6. Step 6: Final answer
    x = 617.41

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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.