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Finding the Fourth Proportional to 963.82, 1,330.42 and 570.85

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Solution

The fourth proportional to 963.82, 1,330.42 and 570.85 is: 787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.82 : 1,330.42 = 570.85 : x
  2. Step 2: Convert to fraction form
    963.82/1,330.42 = 570.85/x
  3. Step 3: Cross multiply
    963.82x = 1,330.42 × 570.85
  4. Step 4: Simplify right side
    963.82x = 759,470.26
  5. Step 5: Solve for x
    x = 759,470.26/963.82
  6. Step 6: Final answer
    x = 787.98

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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.