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Finding the Fourth Proportional to 924.98, 1,387.65 and 275.78

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Solution

The fourth proportional to 924.98, 1,387.65 and 275.78 is: 413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.98 : 1,387.65 = 275.78 : x
  2. Step 2: Convert to fraction form
    924.98/1,387.65 = 275.78/x
  3. Step 3: Cross multiply
    924.98x = 1,387.65 × 275.78
  4. Step 4: Simplify right side
    924.98x = 382,686.12
  5. Step 5: Solve for x
    x = 382,686.12/924.98
  6. Step 6: Final answer
    x = 413.72

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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.