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Finding the Fourth Proportional to 642.74, 886.19 and 456.08

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Solution

The fourth proportional to 642.74, 886.19 and 456.08 is: 628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.74 : 886.19 = 456.08 : x
  2. Step 2: Convert to fraction form
    642.74/886.19 = 456.08/x
  3. Step 3: Cross multiply
    642.74x = 886.19 × 456.08
  4. Step 4: Simplify right side
    642.74x = 404,174.37
  5. Step 5: Solve for x
    x = 404,174.37/642.74
  6. Step 6: Final answer
    x = 628.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.