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Finding the Fourth Proportional to 701.68, 1,050.89 and 457.60

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Solution

The fourth proportional to 701.68, 1,050.89 and 457.60 is: 685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.68 : 1,050.89 = 457.60 : x
  2. Step 2: Convert to fraction form
    701.68/1,050.89 = 457.60/x
  3. Step 3: Cross multiply
    701.68x = 1,050.89 × 457.60
  4. Step 4: Simplify right side
    701.68x = 480,883.15
  5. Step 5: Solve for x
    x = 480,883.15/701.68
  6. Step 6: Final answer
    x = 685.34

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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.