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Finding the Fourth Proportional to 971.70, 1,341.90 and 831.02

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Solution

The fourth proportional to 971.70, 1,341.90 and 831.02 is: 1,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.70 : 1,341.90 = 831.02 : x
  2. Step 2: Convert to fraction form
    971.70/1,341.90 = 831.02/x
  3. Step 3: Cross multiply
    971.70x = 1,341.90 × 831.02
  4. Step 4: Simplify right side
    971.70x = 1,115,145.74
  5. Step 5: Solve for x
    x = 1,115,145.74/971.70
  6. Step 6: Final answer
    x = 1,147.62

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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.