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Finding the Fourth Proportional to 921.01, 1,381.97 and 678.61

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Solution

The fourth proportional to 921.01, 1,381.97 and 678.61 is: 1,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.01 : 1,381.97 = 678.61 : x
  2. Step 2: Convert to fraction form
    921.01/1,381.97 = 678.61/x
  3. Step 3: Cross multiply
    921.01x = 1,381.97 × 678.61
  4. Step 4: Simplify right side
    921.01x = 937,818.66
  5. Step 5: Solve for x
    x = 937,818.66/921.01
  6. Step 6: Final answer
    x = 1,018.25

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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.