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Finding the Fourth Proportional to 965.38, 1,332.25 and 545.76

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Solution

The fourth proportional to 965.38, 1,332.25 and 545.76 is: 753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.38 : 1,332.25 = 545.76 : x
  2. Step 2: Convert to fraction form
    965.38/1,332.25 = 545.76/x
  3. Step 3: Cross multiply
    965.38x = 1,332.25 × 545.76
  4. Step 4: Simplify right side
    965.38x = 727,083.24
  5. Step 5: Solve for x
    x = 727,083.24/965.38
  6. Step 6: Final answer
    x = 753.16

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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.