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Finding the Fourth Proportional to 616.23, 849.65 and 382.95

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Solution

The fourth proportional to 616.23, 849.65 and 382.95 is: 528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.23 : 849.65 = 382.95 : x
  2. Step 2: Convert to fraction form
    616.23/849.65 = 382.95/x
  3. Step 3: Cross multiply
    616.23x = 849.65 × 382.95
  4. Step 4: Simplify right side
    616.23x = 325,371.55
  5. Step 5: Solve for x
    x = 325,371.55/616.23
  6. Step 6: Final answer
    x = 528.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.