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Finding the Fourth Proportional to 701.81, 1,055.84 and 428.12

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Solution

The fourth proportional to 701.81, 1,055.84 and 428.12 is: 644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.81 : 1,055.84 = 428.12 : x
  2. Step 2: Convert to fraction form
    701.81/1,055.84 = 428.12/x
  3. Step 3: Cross multiply
    701.81x = 1,055.84 × 428.12
  4. Step 4: Simplify right side
    701.81x = 452,018.80
  5. Step 5: Solve for x
    x = 452,018.80/701.81
  6. Step 6: Final answer
    x = 644.08

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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.