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Finding the Fourth Proportional to 911, 1,255.76 and 595.72

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Solution

The fourth proportional to 911, 1,255.76 and 595.72 is: 821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    911 : 1,255.76 = 595.72 : x
  2. Step 2: Convert to fraction form
    911/1,255.76 = 595.72/x
  3. Step 3: Cross multiply
    911x = 1,255.76 × 595.72
  4. Step 4: Simplify right side
    911x = 748,081.35
  5. Step 5: Solve for x
    x = 748,081.35/911
  6. Step 6: Final answer
    x = 821.17

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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.