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Finding the Fourth Proportional to 507.74, 696.16 and 502.88

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Solution

The fourth proportional to 507.74, 696.16 and 502.88 is: 689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.74 : 696.16 = 502.88 : x
  2. Step 2: Convert to fraction form
    507.74/696.16 = 502.88/x
  3. Step 3: Cross multiply
    507.74x = 696.16 × 502.88
  4. Step 4: Simplify right side
    507.74x = 350,084.94
  5. Step 5: Solve for x
    x = 350,084.94/507.74
  6. Step 6: Final answer
    x = 689.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.