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Finding the Fourth Proportional to 962.71, 1,328.49 and 543.05

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Solution

The fourth proportional to 962.71, 1,328.49 and 543.05 is: 749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.71 : 1,328.49 = 543.05 : x
  2. Step 2: Convert to fraction form
    962.71/1,328.49 = 543.05/x
  3. Step 3: Cross multiply
    962.71x = 1,328.49 × 543.05
  4. Step 4: Simplify right side
    962.71x = 721,436.49
  5. Step 5: Solve for x
    x = 721,436.49/962.71
  6. Step 6: Final answer
    x = 749.38

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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.