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Finding the Fourth Proportional to 1,060.77, 1,591.08 and 330.31

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Solution

The fourth proportional to 1,060.77, 1,591.08 and 330.31 is: 495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.77 : 1,591.08 = 330.31 : x
  2. Step 2: Convert to fraction form
    1,060.77/1,591.08 = 330.31/x
  3. Step 3: Cross multiply
    1,060.77x = 1,591.08 × 330.31
  4. Step 4: Simplify right side
    1,060.77x = 525,549.63
  5. Step 5: Solve for x
    x = 525,549.63/1,060.77
  6. Step 6: Final answer
    x = 495.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.