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Finding the Fourth Proportional to 770.93, 1,062.76 and 613.62

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Solution

The fourth proportional to 770.93, 1,062.76 and 613.62 is: 845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.93 : 1,062.76 = 613.62 : x
  2. Step 2: Convert to fraction form
    770.93/1,062.76 = 613.62/x
  3. Step 3: Cross multiply
    770.93x = 1,062.76 × 613.62
  4. Step 4: Simplify right side
    770.93x = 652,130.79
  5. Step 5: Solve for x
    x = 652,130.79/770.93
  6. Step 6: Final answer
    x = 845.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.