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Finding the Fourth Proportional to 910.61, 1,366.82 and 901.70

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Solution

The fourth proportional to 910.61, 1,366.82 and 901.70 is: 1,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.61 : 1,366.82 = 901.70 : x
  2. Step 2: Convert to fraction form
    910.61/1,366.82 = 901.70/x
  3. Step 3: Cross multiply
    910.61x = 1,366.82 × 901.70
  4. Step 4: Simplify right side
    910.61x = 1,232,450.25
  5. Step 5: Solve for x
    x = 1,232,450.25/910.61
  6. Step 6: Final answer
    x = 1,353.44

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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.