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Finding the Fourth Proportional to 926.55, 1,389.81 and 772.56

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Solution

The fourth proportional to 926.55, 1,389.81 and 772.56 is: 1,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.55 : 1,389.81 = 772.56 : x
  2. Step 2: Convert to fraction form
    926.55/1,389.81 = 772.56/x
  3. Step 3: Cross multiply
    926.55x = 1,389.81 × 772.56
  4. Step 4: Simplify right side
    926.55x = 1,073,711.61
  5. Step 5: Solve for x
    x = 1,073,711.61/926.55
  6. Step 6: Final answer
    x = 1,158.83

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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.