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Finding the Fourth Proportional to 704.02, 971.24 and 424.09

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Solution

The fourth proportional to 704.02, 971.24 and 424.09 is: 585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.02 : 971.24 = 424.09 : x
  2. Step 2: Convert to fraction form
    704.02/971.24 = 424.09/x
  3. Step 3: Cross multiply
    704.02x = 971.24 × 424.09
  4. Step 4: Simplify right side
    704.02x = 411,893.17
  5. Step 5: Solve for x
    x = 411,893.17/704.02
  6. Step 6: Final answer
    x = 585.06

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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.