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Finding the Fourth Proportional to 616.16, 849.28 and 436.47

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Solution

The fourth proportional to 616.16, 849.28 and 436.47 is: 601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.16 : 849.28 = 436.47 : x
  2. Step 2: Convert to fraction form
    616.16/849.28 = 436.47/x
  3. Step 3: Cross multiply
    616.16x = 849.28 × 436.47
  4. Step 4: Simplify right side
    616.16x = 370,685.24
  5. Step 5: Solve for x
    x = 370,685.24/616.16
  6. Step 6: Final answer
    x = 601.61

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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.