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Finding the Fourth Proportional to 964.90, 1,447.53 and 502.93

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Solution

The fourth proportional to 964.90, 1,447.53 and 502.93 is: 754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.90 : 1,447.53 = 502.93 : x
  2. Step 2: Convert to fraction form
    964.90/1,447.53 = 502.93/x
  3. Step 3: Cross multiply
    964.90x = 1,447.53 × 502.93
  4. Step 4: Simplify right side
    964.90x = 728,006.26
  5. Step 5: Solve for x
    x = 728,006.26/964.90
  6. Step 6: Final answer
    x = 754.49

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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.