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Finding the Fourth Proportional to 901.77, 1,353.06 and 830.49

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Solution

The fourth proportional to 901.77, 1,353.06 and 830.49 is: 1,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.77 : 1,353.06 = 830.49 : x
  2. Step 2: Convert to fraction form
    901.77/1,353.06 = 830.49/x
  3. Step 3: Cross multiply
    901.77x = 1,353.06 × 830.49
  4. Step 4: Simplify right side
    901.77x = 1,123,702.80
  5. Step 5: Solve for x
    x = 1,123,702.80/901.77
  6. Step 6: Final answer
    x = 1,246.11

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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.