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Finding the Fourth Proportional to 770.58, 1,148.85 and 737.91

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Solution

The fourth proportional to 770.58, 1,148.85 and 737.91 is: 1,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.58 : 1,148.85 = 737.91 : x
  2. Step 2: Convert to fraction form
    770.58/1,148.85 = 737.91/x
  3. Step 3: Cross multiply
    770.58x = 1,148.85 × 737.91
  4. Step 4: Simplify right side
    770.58x = 847,747.90
  5. Step 5: Solve for x
    x = 847,747.90/770.58
  6. Step 6: Final answer
    x = 1,100.14

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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.