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Finding the Fourth Proportional to 456.66, 633.36 and 440.16

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Solution

The fourth proportional to 456.66, 633.36 and 440.16 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.66 : 633.36 = 440.16 : x
  2. Step 2: Convert to fraction form
    456.66/633.36 = 440.16/x
  3. Step 3: Cross multiply
    456.66x = 633.36 × 440.16
  4. Step 4: Simplify right side
    456.66x = 278,779.74
  5. Step 5: Solve for x
    x = 278,779.74/456.66
  6. Step 6: Final answer
    x = 610.48

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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.