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Finding the Fourth Proportional to 962.88, 1,328.42 and 613.76

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Solution

The fourth proportional to 962.88, 1,328.42 and 613.76 is: 846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.88 : 1,328.42 = 613.76 : x
  2. Step 2: Convert to fraction form
    962.88/1,328.42 = 613.76/x
  3. Step 3: Cross multiply
    962.88x = 1,328.42 × 613.76
  4. Step 4: Simplify right side
    962.88x = 815,331.06
  5. Step 5: Solve for x
    x = 815,331.06/962.88
  6. Step 6: Final answer
    x = 846.76

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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.