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Finding the Fourth Proportional to 924.12, 1,387.35 and 919.53

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Solution

The fourth proportional to 924.12, 1,387.35 and 919.53 is: 1,380.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.12 : 1,387.35 = 919.53 : x
  2. Step 2: Convert to fraction form
    924.12/1,387.35 = 919.53/x
  3. Step 3: Cross multiply
    924.12x = 1,387.35 × 919.53
  4. Step 4: Simplify right side
    924.12x = 1,275,709.95
  5. Step 5: Solve for x
    x = 1,275,709.95/924.12
  6. Step 6: Final answer
    x = 1,380.46

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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.