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Finding the Fourth Proportional to 922.61, 1,378.52 and 890.31

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Solution

The fourth proportional to 922.61, 1,378.52 and 890.31 is: 1,330.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.61 : 1,378.52 = 890.31 : x
  2. Step 2: Convert to fraction form
    922.61/1,378.52 = 890.31/x
  3. Step 3: Cross multiply
    922.61x = 1,378.52 × 890.31
  4. Step 4: Simplify right side
    922.61x = 1,227,305.69
  5. Step 5: Solve for x
    x = 1,227,305.69/922.61
  6. Step 6: Final answer
    x = 1,330.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.