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Finding the Fourth Proportional to 921.24, 1,381.59 and 690.66

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Solution

The fourth proportional to 921.24, 1,381.59 and 690.66 is: 1,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.24 : 1,381.59 = 690.66 : x
  2. Step 2: Convert to fraction form
    921.24/1,381.59 = 690.66/x
  3. Step 3: Cross multiply
    921.24x = 1,381.59 × 690.66
  4. Step 4: Simplify right side
    921.24x = 954,208.95
  5. Step 5: Solve for x
    x = 954,208.95/921.24
  6. Step 6: Final answer
    x = 1,035.79

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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.