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Finding the Fourth Proportional to 985.32, 1,359.75 and 565.69

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Solution

The fourth proportional to 985.32, 1,359.75 and 565.69 is: 780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.32 : 1,359.75 = 565.69 : x
  2. Step 2: Convert to fraction form
    985.32/1,359.75 = 565.69/x
  3. Step 3: Cross multiply
    985.32x = 1,359.75 × 565.69
  4. Step 4: Simplify right side
    985.32x = 769,196.98
  5. Step 5: Solve for x
    x = 769,196.98/985.32
  6. Step 6: Final answer
    x = 780.66

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1.5x scale

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.