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Finding the Fourth Proportional to 615.76, 922.98 and 342.16

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Solution

The fourth proportional to 615.76, 922.98 and 342.16 is: 512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.76 : 922.98 = 342.16 : x
  2. Step 2: Convert to fraction form
    615.76/922.98 = 342.16/x
  3. Step 3: Cross multiply
    615.76x = 922.98 × 342.16
  4. Step 4: Simplify right side
    615.76x = 315,806.84
  5. Step 5: Solve for x
    x = 315,806.84/615.76
  6. Step 6: Final answer
    x = 512.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.