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Finding the Fourth Proportional to 698.50, 963.69 and 502.30

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Solution

The fourth proportional to 698.50, 963.69 and 502.30 is: 693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.50 : 963.69 = 502.30 : x
  2. Step 2: Convert to fraction form
    698.50/963.69 = 502.30/x
  3. Step 3: Cross multiply
    698.50x = 963.69 × 502.30
  4. Step 4: Simplify right side
    698.50x = 484,061.49
  5. Step 5: Solve for x
    x = 484,061.49/698.50
  6. Step 6: Final answer
    x = 693.00

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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.