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Finding the Fourth Proportional to 971.77, 1,341.33 and 922.17

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Solution

The fourth proportional to 971.77, 1,341.33 and 922.17 is: 1,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.77 : 1,341.33 = 922.17 : x
  2. Step 2: Convert to fraction form
    971.77/1,341.33 = 922.17/x
  3. Step 3: Cross multiply
    971.77x = 1,341.33 × 922.17
  4. Step 4: Simplify right side
    971.77x = 1,236,936.09
  5. Step 5: Solve for x
    x = 1,236,936.09/971.77
  6. Step 6: Final answer
    x = 1,272.87

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1.5x scale

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.