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Finding the Fourth Proportional to 922.66, 1,264.96 and 906.28

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Solution

The fourth proportional to 922.66, 1,264.96 and 906.28 is: 1,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.66 : 1,264.96 = 906.28 : x
  2. Step 2: Convert to fraction form
    922.66/1,264.96 = 906.28/x
  3. Step 3: Cross multiply
    922.66x = 1,264.96 × 906.28
  4. Step 4: Simplify right side
    922.66x = 1,146,407.95
  5. Step 5: Solve for x
    x = 1,146,407.95/922.66
  6. Step 6: Final answer
    x = 1,242.50

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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.