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Finding the Fourth Proportional to 423.15, 632.24 and 415.44

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Solution

The fourth proportional to 423.15, 632.24 and 415.44 is: 620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.15 : 632.24 = 415.44 : x
  2. Step 2: Convert to fraction form
    423.15/632.24 = 415.44/x
  3. Step 3: Cross multiply
    423.15x = 632.24 × 415.44
  4. Step 4: Simplify right side
    423.15x = 262,655.71
  5. Step 5: Solve for x
    x = 262,655.71/423.15
  6. Step 6: Final answer
    x = 620.72

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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.