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Finding the Fourth Proportional to 616.35, 922.30 and 342.71

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Solution

The fourth proportional to 616.35, 922.30 and 342.71 is: 512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.35 : 922.30 = 342.71 : x
  2. Step 2: Convert to fraction form
    616.35/922.30 = 342.71/x
  3. Step 3: Cross multiply
    616.35x = 922.30 × 342.71
  4. Step 4: Simplify right side
    616.35x = 316,075.96
  5. Step 5: Solve for x
    x = 316,075.96/616.35
  6. Step 6: Final answer
    x = 512.82

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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.