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Finding the Fourth Proportional to 947.73, 1,421.59 and 392.30

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Solution

The fourth proportional to 947.73, 1,421.59 and 392.30 is: 588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.73 : 1,421.59 = 392.30 : x
  2. Step 2: Convert to fraction form
    947.73/1,421.59 = 392.30/x
  3. Step 3: Cross multiply
    947.73x = 1,421.59 × 392.30
  4. Step 4: Simplify right side
    947.73x = 557,689.76
  5. Step 5: Solve for x
    x = 557,689.76/947.73
  6. Step 6: Final answer
    x = 588.45

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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.