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Finding the Fourth Proportional to 773.89, 1,068.47 and 690.86

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Solution

The fourth proportional to 773.89, 1,068.47 and 690.86 is: 953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.89 : 1,068.47 = 690.86 : x
  2. Step 2: Convert to fraction form
    773.89/1,068.47 = 690.86/x
  3. Step 3: Cross multiply
    773.89x = 1,068.47 × 690.86
  4. Step 4: Simplify right side
    773.89x = 738,154.39
  5. Step 5: Solve for x
    x = 738,154.39/773.89
  6. Step 6: Final answer
    x = 953.82

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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.