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Finding the Fourth Proportional to 610.34, 842.67 and 470.21

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Solution

The fourth proportional to 610.34, 842.67 and 470.21 is: 649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.34 : 842.67 = 470.21 : x
  2. Step 2: Convert to fraction form
    610.34/842.67 = 470.21/x
  3. Step 3: Cross multiply
    610.34x = 842.67 × 470.21
  4. Step 4: Simplify right side
    610.34x = 396,227.65
  5. Step 5: Solve for x
    x = 396,227.65/610.34
  6. Step 6: Final answer
    x = 649.20

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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.