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Finding the Fourth Proportional to 615.52, 926.87 and 454.33

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Solution

The fourth proportional to 615.52, 926.87 and 454.33 is: 684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.52 : 926.87 = 454.33 : x
  2. Step 2: Convert to fraction form
    615.52/926.87 = 454.33/x
  3. Step 3: Cross multiply
    615.52x = 926.87 × 454.33
  4. Step 4: Simplify right side
    615.52x = 421,102.58
  5. Step 5: Solve for x
    x = 421,102.58/615.52
  6. Step 6: Final answer
    x = 684.14

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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.