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Finding the Fourth Proportional to 924.95, 1,387.36 and 559.64

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Solution

The fourth proportional to 924.95, 1,387.36 and 559.64 is: 839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.95 : 1,387.36 = 559.64 : x
  2. Step 2: Convert to fraction form
    924.95/1,387.36 = 559.64/x
  3. Step 3: Cross multiply
    924.95x = 1,387.36 × 559.64
  4. Step 4: Simplify right side
    924.95x = 776,426.32
  5. Step 5: Solve for x
    x = 776,426.32/924.95
  6. Step 6: Final answer
    x = 839.42

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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.