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Finding the Fourth Proportional to 470.66, 704.34 and 415.58

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Solution

The fourth proportional to 470.66, 704.34 and 415.58 is: 621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.66 : 704.34 = 415.58 : x
  2. Step 2: Convert to fraction form
    470.66/704.34 = 415.58/x
  3. Step 3: Cross multiply
    470.66x = 704.34 × 415.58
  4. Step 4: Simplify right side
    470.66x = 292,706.10
  5. Step 5: Solve for x
    x = 292,706.10/470.66
  6. Step 6: Final answer
    x = 621.91

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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.