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Finding the Fourth Proportional to 922.10, 1,264.29 and 907.70

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Solution

The fourth proportional to 922.10, 1,264.29 and 907.70 is: 1,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.10 : 1,264.29 = 907.70 : x
  2. Step 2: Convert to fraction form
    922.10/1,264.29 = 907.70/x
  3. Step 3: Cross multiply
    922.10x = 1,264.29 × 907.70
  4. Step 4: Simplify right side
    922.10x = 1,147,591.49
  5. Step 5: Solve for x
    x = 1,147,591.49/922.10
  6. Step 6: Final answer
    x = 1,244.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.