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Finding the Fourth Proportional to 704.60, 972.32 and 424.84

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Solution

The fourth proportional to 704.60, 972.32 and 424.84 is: 586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.60 : 972.32 = 424.84 : x
  2. Step 2: Convert to fraction form
    704.60/972.32 = 424.84/x
  3. Step 3: Cross multiply
    704.60x = 972.32 × 424.84
  4. Step 4: Simplify right side
    704.60x = 413,080.43
  5. Step 5: Solve for x
    x = 413,080.43/704.60
  6. Step 6: Final answer
    x = 586.26

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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.