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Finding the Fourth Proportional to 698.58, 964.04 and 502.29

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Solution

The fourth proportional to 698.58, 964.04 and 502.29 is: 693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.58 : 964.04 = 502.29 : x
  2. Step 2: Convert to fraction form
    698.58/964.04 = 502.29/x
  3. Step 3: Cross multiply
    698.58x = 964.04 × 502.29
  4. Step 4: Simplify right side
    698.58x = 484,225.14
  5. Step 5: Solve for x
    x = 484,225.14/698.58
  6. Step 6: Final answer
    x = 693.16

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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.