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Finding the Fourth Proportional to 578.74, 796.89 and 532.30

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Solution

The fourth proportional to 578.74, 796.89 and 532.30 is: 732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.74 : 796.89 = 532.30 : x
  2. Step 2: Convert to fraction form
    578.74/796.89 = 532.30/x
  3. Step 3: Cross multiply
    578.74x = 796.89 × 532.30
  4. Step 4: Simplify right side
    578.74x = 424,184.55
  5. Step 5: Solve for x
    x = 424,184.55/578.74
  6. Step 6: Final answer
    x = 732.94

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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.