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Finding the Fourth Proportional to 462.54, 689.80 and 394.50

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Solution

The fourth proportional to 462.54, 689.80 and 394.50 is: 588.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.54 : 689.80 = 394.50 : x
  2. Step 2: Convert to fraction form
    462.54/689.80 = 394.50/x
  3. Step 3: Cross multiply
    462.54x = 689.80 × 394.50
  4. Step 4: Simplify right side
    462.54x = 272,125.11
  5. Step 5: Solve for x
    x = 272,125.11/462.54
  6. Step 6: Final answer
    x = 588.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.