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Finding the Fourth Proportional to 963.83, 1,330.10 and 565.40

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Solution

The fourth proportional to 963.83, 1,330.10 and 565.40 is: 780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.83 : 1,330.10 = 565.40 : x
  2. Step 2: Convert to fraction form
    963.83/1,330.10 = 565.40/x
  3. Step 3: Cross multiply
    963.83x = 1,330.10 × 565.40
  4. Step 4: Simplify right side
    963.83x = 752,036.86
  5. Step 5: Solve for x
    x = 752,036.86/963.83
  6. Step 6: Final answer
    x = 780.26

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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.