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Finding the Fourth Proportional to 790.56, 1,177.74 and 781.92

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Solution

The fourth proportional to 790.56, 1,177.74 and 781.92 is: 1,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.56 : 1,177.74 = 781.92 : x
  2. Step 2: Convert to fraction form
    790.56/1,177.74 = 781.92/x
  3. Step 3: Cross multiply
    790.56x = 1,177.74 × 781.92
  4. Step 4: Simplify right side
    790.56x = 920,898.46
  5. Step 5: Solve for x
    x = 920,898.46/790.56
  6. Step 6: Final answer
    x = 1,164.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.