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Finding the Fourth Proportional to 610.17, 842.30 and 470.24

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Solution

The fourth proportional to 610.17, 842.30 and 470.24 is: 649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.17 : 842.30 = 470.24 : x
  2. Step 2: Convert to fraction form
    610.17/842.30 = 470.24/x
  3. Step 3: Cross multiply
    610.17x = 842.30 × 470.24
  4. Step 4: Simplify right side
    610.17x = 396,080.12
  5. Step 5: Solve for x
    x = 396,080.12/610.17
  6. Step 6: Final answer
    x = 649.13

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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.