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Finding the Fourth Proportional to 758.79, 1,139.00 and 616.23

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Solution

The fourth proportional to 758.79, 1,139.00 and 616.23 is: 925.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.79 : 1,139.00 = 616.23 : x
  2. Step 2: Convert to fraction form
    758.79/1,139.00 = 616.23/x
  3. Step 3: Cross multiply
    758.79x = 1,139.00 × 616.23
  4. Step 4: Simplify right side
    758.79x = 701,882.89
  5. Step 5: Solve for x
    x = 701,882.89/758.79
  6. Step 6: Final answer
    x = 925.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.