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Finding the Fourth Proportional to 985.04, 1,358.16 and 760.96

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Solution

The fourth proportional to 985.04, 1,358.16 and 760.96 is: 1,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.04 : 1,358.16 = 760.96 : x
  2. Step 2: Convert to fraction form
    985.04/1,358.16 = 760.96/x
  3. Step 3: Cross multiply
    985.04x = 1,358.16 × 760.96
  4. Step 4: Simplify right side
    985.04x = 1,033,505.43
  5. Step 5: Solve for x
    x = 1,033,505.43/985.04
  6. Step 6: Final answer
    x = 1,049.20

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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.