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Finding the Fourth Proportional to 964.76, 1,331.40 and 566.45

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Solution

The fourth proportional to 964.76, 1,331.40 and 566.45 is: 781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.76 : 1,331.40 = 566.45 : x
  2. Step 2: Convert to fraction form
    964.76/1,331.40 = 566.45/x
  3. Step 3: Cross multiply
    964.76x = 1,331.40 × 566.45
  4. Step 4: Simplify right side
    964.76x = 754,171.53
  5. Step 5: Solve for x
    x = 754,171.53/964.76
  6. Step 6: Final answer
    x = 781.72

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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.