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Finding the Fourth Proportional to 964.25, 1,447.62 and 502.35

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Solution

The fourth proportional to 964.25, 1,447.62 and 502.35 is: 754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.25 : 1,447.62 = 502.35 : x
  2. Step 2: Convert to fraction form
    964.25/1,447.62 = 502.35/x
  3. Step 3: Cross multiply
    964.25x = 1,447.62 × 502.35
  4. Step 4: Simplify right side
    964.25x = 727,202.16
  5. Step 5: Solve for x
    x = 727,202.16/964.25
  6. Step 6: Final answer
    x = 754.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.