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Finding the Fourth Proportional to 938.70, 1,294.55 and 771.93

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Solution

The fourth proportional to 938.70, 1,294.55 and 771.93 is: 1,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.70 : 1,294.55 = 771.93 : x
  2. Step 2: Convert to fraction form
    938.70/1,294.55 = 771.93/x
  3. Step 3: Cross multiply
    938.70x = 1,294.55 × 771.93
  4. Step 4: Simplify right side
    938.70x = 999,298.12
  5. Step 5: Solve for x
    x = 999,298.12/938.70
  6. Step 6: Final answer
    x = 1,064.56

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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.