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Finding the Fourth Proportional to 632.47, 947.44 and 502.69

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Solution

The fourth proportional to 632.47, 947.44 and 502.69 is: 753.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.47 : 947.44 = 502.69 : x
  2. Step 2: Convert to fraction form
    632.47/947.44 = 502.69/x
  3. Step 3: Cross multiply
    632.47x = 947.44 × 502.69
  4. Step 4: Simplify right side
    632.47x = 476,268.61
  5. Step 5: Solve for x
    x = 476,268.61/632.47
  6. Step 6: Final answer
    x = 753.03

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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.