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Finding the Fourth Proportional to 701.79, 1,052.24 and 291.05

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Solution

The fourth proportional to 701.79, 1,052.24 and 291.05 is: 436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.79 : 1,052.24 = 291.05 : x
  2. Step 2: Convert to fraction form
    701.79/1,052.24 = 291.05/x
  3. Step 3: Cross multiply
    701.79x = 1,052.24 × 291.05
  4. Step 4: Simplify right side
    701.79x = 306,247.74
  5. Step 5: Solve for x
    x = 306,247.74/701.79
  6. Step 6: Final answer
    x = 436.38

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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.