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Finding the Fourth Proportional to 924.95, 1,387.97 and 917.53

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Solution

The fourth proportional to 924.95, 1,387.97 and 917.53 is: 1,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.95 : 1,387.97 = 917.53 : x
  2. Step 2: Convert to fraction form
    924.95/1,387.97 = 917.53/x
  3. Step 3: Cross multiply
    924.95x = 1,387.97 × 917.53
  4. Step 4: Simplify right side
    924.95x = 1,273,504.11
  5. Step 5: Solve for x
    x = 1,273,504.11/924.95
  6. Step 6: Final answer
    x = 1,376.84

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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.