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Finding the Fourth Proportional to 921.24, 1,373.02 and 913.61

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Solution

The fourth proportional to 921.24, 1,373.02 and 913.61 is: 1,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.24 : 1,373.02 = 913.61 : x
  2. Step 2: Convert to fraction form
    921.24/1,373.02 = 913.61/x
  3. Step 3: Cross multiply
    921.24x = 1,373.02 × 913.61
  4. Step 4: Simplify right side
    921.24x = 1,254,405.95
  5. Step 5: Solve for x
    x = 1,254,405.95/921.24
  6. Step 6: Final answer
    x = 1,361.65

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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.