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Finding the Fourth Proportional to 985.60, 1,359.92 and 571.60

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Solution

The fourth proportional to 985.60, 1,359.92 and 571.60 is: 788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.60 : 1,359.92 = 571.60 : x
  2. Step 2: Convert to fraction form
    985.60/1,359.92 = 571.60/x
  3. Step 3: Cross multiply
    985.60x = 1,359.92 × 571.60
  4. Step 4: Simplify right side
    985.60x = 777,330.27
  5. Step 5: Solve for x
    x = 777,330.27/985.60
  6. Step 6: Final answer
    x = 788.69

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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.