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Finding the Fourth Proportional to 465.31, 701.10 and 415.58

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Solution

The fourth proportional to 465.31, 701.10 and 415.58 is: 626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.31 : 701.10 = 415.58 : x
  2. Step 2: Convert to fraction form
    465.31/701.10 = 415.58/x
  3. Step 3: Cross multiply
    465.31x = 701.10 × 415.58
  4. Step 4: Simplify right side
    465.31x = 291,363.14
  5. Step 5: Solve for x
    x = 291,363.14/465.31
  6. Step 6: Final answer
    x = 626.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.