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Finding the Fourth Proportional to 434.31, 652.19 and 415.59

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Solution

The fourth proportional to 434.31, 652.19 and 415.59 is: 624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.31 : 652.19 = 415.59 : x
  2. Step 2: Convert to fraction form
    434.31/652.19 = 415.59/x
  3. Step 3: Cross multiply
    434.31x = 652.19 × 415.59
  4. Step 4: Simplify right side
    434.31x = 271,041.56
  5. Step 5: Solve for x
    x = 271,041.56/434.31
  6. Step 6: Final answer
    x = 624.07

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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.