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Finding the Fourth Proportional to 924.94, 1,388.20 and 462.59

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Solution

The fourth proportional to 924.94, 1,388.20 and 462.59 is: 694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.94 : 1,388.20 = 462.59 : x
  2. Step 2: Convert to fraction form
    924.94/1,388.20 = 462.59/x
  3. Step 3: Cross multiply
    924.94x = 1,388.20 × 462.59
  4. Step 4: Simplify right side
    924.94x = 642,167.44
  5. Step 5: Solve for x
    x = 642,167.44/924.94
  6. Step 6: Final answer
    x = 694.28

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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.