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Finding the Fourth Proportional to 781.93, 1,078.72 and 549.37

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Solution

The fourth proportional to 781.93, 1,078.72 and 549.37 is: 757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.93 : 1,078.72 = 549.37 : x
  2. Step 2: Convert to fraction form
    781.93/1,078.72 = 549.37/x
  3. Step 3: Cross multiply
    781.93x = 1,078.72 × 549.37
  4. Step 4: Simplify right side
    781.93x = 592,616.41
  5. Step 5: Solve for x
    x = 592,616.41/781.93
  6. Step 6: Final answer
    x = 757.89

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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.