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Finding the Fourth Proportional to 709.70, 1,062.86 and 416.57

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Solution

The fourth proportional to 709.70, 1,062.86 and 416.57 is: 623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.70 : 1,062.86 = 416.57 : x
  2. Step 2: Convert to fraction form
    709.70/1,062.86 = 416.57/x
  3. Step 3: Cross multiply
    709.70x = 1,062.86 × 416.57
  4. Step 4: Simplify right side
    709.70x = 442,748.19
  5. Step 5: Solve for x
    x = 442,748.19/709.70
  6. Step 6: Final answer
    x = 623.86

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Why These Related Problems?

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