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Finding the Fourth Proportional to 456.23, 632.21 and 415.13

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Solution

The fourth proportional to 456.23, 632.21 and 415.13 is: 575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.23 : 632.21 = 415.13 : x
  2. Step 2: Convert to fraction form
    456.23/632.21 = 415.13/x
  3. Step 3: Cross multiply
    456.23x = 632.21 × 415.13
  4. Step 4: Simplify right side
    456.23x = 262,444.10
  5. Step 5: Solve for x
    x = 262,444.10/456.23
  6. Step 6: Final answer
    x = 575.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.