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Finding the Fourth Proportional to 456.84, 688.77 and 425.52

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Solution

The fourth proportional to 456.84, 688.77 and 425.52 is: 641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 688.77 = 425.52 : x
  2. Step 2: Convert to fraction form
    456.84/688.77 = 425.52/x
  3. Step 3: Cross multiply
    456.84x = 688.77 × 425.52
  4. Step 4: Simplify right side
    456.84x = 293,085.41
  5. Step 5: Solve for x
    x = 293,085.41/456.84
  6. Step 6: Final answer
    x = 641.55

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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.