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Finding the Fourth Proportional to 456.61, 628.13 and 400.34

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Solution

The fourth proportional to 456.61, 628.13 and 400.34 is: 550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.61 : 628.13 = 400.34 : x
  2. Step 2: Convert to fraction form
    456.61/628.13 = 400.34/x
  3. Step 3: Cross multiply
    456.61x = 628.13 × 400.34
  4. Step 4: Simplify right side
    456.61x = 251,467.01
  5. Step 5: Solve for x
    x = 251,467.01/456.61
  6. Step 6: Final answer
    x = 550.72

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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.