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Finding the Fourth Proportional to 469.58, 701.17 and 414.27

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Solution

The fourth proportional to 469.58, 701.17 and 414.27 is: 618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.58 : 701.17 = 414.27 : x
  2. Step 2: Convert to fraction form
    469.58/701.17 = 414.27/x
  3. Step 3: Cross multiply
    469.58x = 701.17 × 414.27
  4. Step 4: Simplify right side
    469.58x = 290,472.66
  5. Step 5: Solve for x
    x = 290,472.66/469.58
  6. Step 6: Final answer
    x = 618.59

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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.