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Finding the Fourth Proportional to 516.60, 770.90 and 470.61

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Solution

The fourth proportional to 516.60, 770.90 and 470.61 is: 702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.60 : 770.90 = 470.61 : x
  2. Step 2: Convert to fraction form
    516.60/770.90 = 470.61/x
  3. Step 3: Cross multiply
    516.60x = 770.90 × 470.61
  4. Step 4: Simplify right side
    516.60x = 362,790.90
  5. Step 5: Solve for x
    x = 362,790.90/516.60
  6. Step 6: Final answer
    x = 702.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.