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Finding the Fourth Proportional to 971.57, 1,449.88 and 867.77

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Solution

The fourth proportional to 971.57, 1,449.88 and 867.77 is: 1,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.57 : 1,449.88 = 867.77 : x
  2. Step 2: Convert to fraction form
    971.57/1,449.88 = 867.77/x
  3. Step 3: Cross multiply
    971.57x = 1,449.88 × 867.77
  4. Step 4: Simplify right side
    971.57x = 1,258,162.37
  5. Step 5: Solve for x
    x = 1,258,162.37/971.57
  6. Step 6: Final answer
    x = 1,294.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.