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Finding the Fourth Proportional to 985.18, 1,359.47 and 565.47

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Solution

The fourth proportional to 985.18, 1,359.47 and 565.47 is: 780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.18 : 1,359.47 = 565.47 : x
  2. Step 2: Convert to fraction form
    985.18/1,359.47 = 565.47/x
  3. Step 3: Cross multiply
    985.18x = 1,359.47 × 565.47
  4. Step 4: Simplify right side
    985.18x = 768,738.21
  5. Step 5: Solve for x
    x = 768,738.21/985.18
  6. Step 6: Final answer
    x = 780.31

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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.