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Finding the Fourth Proportional to 456.40, 688.03 and 425.08

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Solution

The fourth proportional to 456.40, 688.03 and 425.08 is: 640.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.40 : 688.03 = 425.08 : x
  2. Step 2: Convert to fraction form
    456.40/688.03 = 425.08/x
  3. Step 3: Cross multiply
    456.40x = 688.03 × 425.08
  4. Step 4: Simplify right side
    456.40x = 292,467.79
  5. Step 5: Solve for x
    x = 292,467.79/456.40
  6. Step 6: Final answer
    x = 640.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.