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Finding the Fourth Proportional to 925.30, 1,387.80 and 770.13

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Solution

The fourth proportional to 925.30, 1,387.80 and 770.13 is: 1,155.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.30 : 1,387.80 = 770.13 : x
  2. Step 2: Convert to fraction form
    925.30/1,387.80 = 770.13/x
  3. Step 3: Cross multiply
    925.30x = 1,387.80 × 770.13
  4. Step 4: Simplify right side
    925.30x = 1,068,786.41
  5. Step 5: Solve for x
    x = 1,068,786.41/925.30
  6. Step 6: Final answer
    x = 1,155.07

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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.