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Finding the Fourth Proportional to 985.33, 1,359.80 and 565.68

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Solution

The fourth proportional to 985.33, 1,359.80 and 565.68 is: 780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.33 : 1,359.80 = 565.68 : x
  2. Step 2: Convert to fraction form
    985.33/1,359.80 = 565.68/x
  3. Step 3: Cross multiply
    985.33x = 1,359.80 × 565.68
  4. Step 4: Simplify right side
    985.33x = 769,207.98
  5. Step 5: Solve for x
    x = 769,207.98/985.33
  6. Step 6: Final answer
    x = 780.66

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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.