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Finding the Fourth Proportional to 770.42, 1,062.20 and 612.68

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Solution

The fourth proportional to 770.42, 1,062.20 and 612.68 is: 844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.42 : 1,062.20 = 612.68 : x
  2. Step 2: Convert to fraction form
    770.42/1,062.20 = 612.68/x
  3. Step 3: Cross multiply
    770.42x = 1,062.20 × 612.68
  4. Step 4: Simplify right side
    770.42x = 650,788.70
  5. Step 5: Solve for x
    x = 650,788.70/770.42
  6. Step 6: Final answer
    x = 844.72

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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.