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Finding the Fourth Proportional to 972.70, 1,339.40 and 831.76

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Solution

The fourth proportional to 972.70, 1,339.40 and 831.76 is: 1,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.70 : 1,339.40 = 831.76 : x
  2. Step 2: Convert to fraction form
    972.70/1,339.40 = 831.76/x
  3. Step 3: Cross multiply
    972.70x = 1,339.40 × 831.76
  4. Step 4: Simplify right side
    972.70x = 1,114,059.34
  5. Step 5: Solve for x
    x = 1,114,059.34/972.70
  6. Step 6: Final answer
    x = 1,145.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.