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Finding the Fourth Proportional to 924.75, 1,273.57 and 921.87

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Solution

The fourth proportional to 924.75, 1,273.57 and 921.87 is: 1,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.75 : 1,273.57 = 921.87 : x
  2. Step 2: Convert to fraction form
    924.75/1,273.57 = 921.87/x
  3. Step 3: Cross multiply
    924.75x = 1,273.57 × 921.87
  4. Step 4: Simplify right side
    924.75x = 1,174,060.75
  5. Step 5: Solve for x
    x = 1,174,060.75/924.75
  6. Step 6: Final answer
    x = 1,269.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.