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Finding the Fourth Proportional to 771.59, 1,158.03 and 765.52

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Solution

The fourth proportional to 771.59, 1,158.03 and 765.52 is: 1,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.59 : 1,158.03 = 765.52 : x
  2. Step 2: Convert to fraction form
    771.59/1,158.03 = 765.52/x
  3. Step 3: Cross multiply
    771.59x = 1,158.03 × 765.52
  4. Step 4: Simplify right side
    771.59x = 886,492.23
  5. Step 5: Solve for x
    x = 886,492.23/771.59
  6. Step 6: Final answer
    x = 1,148.91

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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.