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Finding the Fourth Proportional to 839.80, 1,159.14 and 752.32

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Solution

The fourth proportional to 839.80, 1,159.14 and 752.32 is: 1,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.80 : 1,159.14 = 752.32 : x
  2. Step 2: Convert to fraction form
    839.80/1,159.14 = 752.32/x
  3. Step 3: Cross multiply
    839.80x = 1,159.14 × 752.32
  4. Step 4: Simplify right side
    839.80x = 872,044.20
  5. Step 5: Solve for x
    x = 872,044.20/839.80
  6. Step 6: Final answer
    x = 1,038.40

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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.