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Finding the Fourth Proportional to 616.60, 852.90 and 502.84

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Solution

The fourth proportional to 616.60, 852.90 and 502.84 is: 695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.60 : 852.90 = 502.84 : x
  2. Step 2: Convert to fraction form
    616.60/852.90 = 502.84/x
  3. Step 3: Cross multiply
    616.60x = 852.90 × 502.84
  4. Step 4: Simplify right side
    616.60x = 428,872.24
  5. Step 5: Solve for x
    x = 428,872.24/616.60
  6. Step 6: Final answer
    x = 695.54

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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.