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Finding the Fourth Proportional to 962.72, 1,328.54 and 520.61

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Solution

The fourth proportional to 962.72, 1,328.54 and 520.61 is: 718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.72 : 1,328.54 = 520.61 : x
  2. Step 2: Convert to fraction form
    962.72/1,328.54 = 520.61/x
  3. Step 3: Cross multiply
    962.72x = 1,328.54 × 520.61
  4. Step 4: Simplify right side
    962.72x = 691,651.21
  5. Step 5: Solve for x
    x = 691,651.21/962.72
  6. Step 6: Final answer
    x = 718.44

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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.