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Finding the Fourth Proportional to 688.90, 950.16 and 502.78

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Solution

The fourth proportional to 688.90, 950.16 and 502.78 is: 693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.90 : 950.16 = 502.78 : x
  2. Step 2: Convert to fraction form
    688.90/950.16 = 502.78/x
  3. Step 3: Cross multiply
    688.90x = 950.16 × 502.78
  4. Step 4: Simplify right side
    688.90x = 477,721.44
  5. Step 5: Solve for x
    x = 477,721.44/688.90
  6. Step 6: Final answer
    x = 693.46

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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.