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Finding the Fourth Proportional to 701.99, 1,052.90 and 291.02

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Solution

The fourth proportional to 701.99, 1,052.90 and 291.02 is: 436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.99 : 1,052.90 = 291.02 : x
  2. Step 2: Convert to fraction form
    701.99/1,052.90 = 291.02/x
  3. Step 3: Cross multiply
    701.99x = 1,052.90 × 291.02
  4. Step 4: Simplify right side
    701.99x = 306,409.33
  5. Step 5: Solve for x
    x = 306,409.33/701.99
  6. Step 6: Final answer
    x = 436.49

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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.