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Finding the Fourth Proportional to 964.16, 1,330.11 and 565.85

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Solution

The fourth proportional to 964.16, 1,330.11 and 565.85 is: 780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.16 : 1,330.11 = 565.85 : x
  2. Step 2: Convert to fraction form
    964.16/1,330.11 = 565.85/x
  3. Step 3: Cross multiply
    964.16x = 1,330.11 × 565.85
  4. Step 4: Simplify right side
    964.16x = 752,642.74
  5. Step 5: Solve for x
    x = 752,642.74/964.16
  6. Step 6: Final answer
    x = 780.62

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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.