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Finding the Fourth Proportional to 704.57, 972.56 and 424.81

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Solution

The fourth proportional to 704.57, 972.56 and 424.81 is: 586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.57 : 972.56 = 424.81 : x
  2. Step 2: Convert to fraction form
    704.57/972.56 = 424.81/x
  3. Step 3: Cross multiply
    704.57x = 972.56 × 424.81
  4. Step 4: Simplify right side
    704.57x = 413,153.21
  5. Step 5: Solve for x
    x = 413,153.21/704.57
  6. Step 6: Final answer
    x = 586.39

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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.