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Finding the Fourth Proportional to 836.70, 1,255.10 and 471.79

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Solution

The fourth proportional to 836.70, 1,255.10 and 471.79 is: 707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.70 : 1,255.10 = 471.79 : x
  2. Step 2: Convert to fraction form
    836.70/1,255.10 = 471.79/x
  3. Step 3: Cross multiply
    836.70x = 1,255.10 × 471.79
  4. Step 4: Simplify right side
    836.70x = 592,143.63
  5. Step 5: Solve for x
    x = 592,143.63/836.70
  6. Step 6: Final answer
    x = 707.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.