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Finding the Fourth Proportional to 632.66, 948.58 and 415.58

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Solution

The fourth proportional to 632.66, 948.58 and 415.58 is: 623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.66 : 948.58 = 415.58 : x
  2. Step 2: Convert to fraction form
    632.66/948.58 = 415.58/x
  3. Step 3: Cross multiply
    632.66x = 948.58 × 415.58
  4. Step 4: Simplify right side
    632.66x = 394,210.88
  5. Step 5: Solve for x
    x = 394,210.88/632.66
  6. Step 6: Final answer
    x = 623.10

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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.