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Finding the Fourth Proportional to 972.30, 1,347.45 and 953.84

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Solution

The fourth proportional to 972.30, 1,347.45 and 953.84 is: 1,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.30 : 1,347.45 = 953.84 : x
  2. Step 2: Convert to fraction form
    972.30/1,347.45 = 953.84/x
  3. Step 3: Cross multiply
    972.30x = 1,347.45 × 953.84
  4. Step 4: Simplify right side
    972.30x = 1,285,243.57
  5. Step 5: Solve for x
    x = 1,285,243.57/972.30
  6. Step 6: Final answer
    x = 1,321.86

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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.