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Finding the Fourth Proportional to 701.55, 1,050.71 and 457.47

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Solution

The fourth proportional to 701.55, 1,050.71 and 457.47 is: 685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.55 : 1,050.71 = 457.47 : x
  2. Step 2: Convert to fraction form
    701.55/1,050.71 = 457.47/x
  3. Step 3: Cross multiply
    701.55x = 1,050.71 × 457.47
  4. Step 4: Simplify right side
    701.55x = 480,666.02
  5. Step 5: Solve for x
    x = 480,666.02/701.55
  6. Step 6: Final answer
    x = 685.15

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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.