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Finding the Fourth Proportional to 704.62, 972.49 and 424.88

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Solution

The fourth proportional to 704.62, 972.49 and 424.88 is: 586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.62 : 972.49 = 424.88 : x
  2. Step 2: Convert to fraction form
    704.62/972.49 = 424.88/x
  3. Step 3: Cross multiply
    704.62x = 972.49 × 424.88
  4. Step 4: Simplify right side
    704.62x = 413,190.07
  5. Step 5: Solve for x
    x = 413,190.07/704.62
  6. Step 6: Final answer
    x = 586.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.