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Finding the Fourth Proportional to 474.19, 656.91 and 462.85

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Solution

The fourth proportional to 474.19, 656.91 and 462.85 is: 641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.19 : 656.91 = 462.85 : x
  2. Step 2: Convert to fraction form
    474.19/656.91 = 462.85/x
  3. Step 3: Cross multiply
    474.19x = 656.91 × 462.85
  4. Step 4: Simplify right side
    474.19x = 304,047.51
  5. Step 5: Solve for x
    x = 304,047.51/474.19
  6. Step 6: Final answer
    x = 641.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.