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Finding the Fourth Proportional to 978.59, 1,468.67 and 431.17

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Solution

The fourth proportional to 978.59, 1,468.67 and 431.17 is: 647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.59 : 1,468.67 = 431.17 : x
  2. Step 2: Convert to fraction form
    978.59/1,468.67 = 431.17/x
  3. Step 3: Cross multiply
    978.59x = 1,468.67 × 431.17
  4. Step 4: Simplify right side
    978.59x = 633,240.62
  5. Step 5: Solve for x
    x = 633,240.62/978.59
  6. Step 6: Final answer
    x = 647.09

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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.