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Finding the Fourth Proportional to 972.57, 1,340.67 and 831.63

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Solution

The fourth proportional to 972.57, 1,340.67 and 831.63 is: 1,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.57 : 1,340.67 = 831.63 : x
  2. Step 2: Convert to fraction form
    972.57/1,340.67 = 831.63/x
  3. Step 3: Cross multiply
    972.57x = 1,340.67 × 831.63
  4. Step 4: Simplify right side
    972.57x = 1,114,941.39
  5. Step 5: Solve for x
    x = 1,114,941.39/972.57
  6. Step 6: Final answer
    x = 1,146.39

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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.