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Finding the Fourth Proportional to 932.51, 1,295.29 and 917.63

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Solution

The fourth proportional to 932.51, 1,295.29 and 917.63 is: 1,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.51 : 1,295.29 = 917.63 : x
  2. Step 2: Convert to fraction form
    932.51/1,295.29 = 917.63/x
  3. Step 3: Cross multiply
    932.51x = 1,295.29 × 917.63
  4. Step 4: Simplify right side
    932.51x = 1,188,591.63
  5. Step 5: Solve for x
    x = 1,188,591.63/932.51
  6. Step 6: Final answer
    x = 1,274.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.