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Finding the Fourth Proportional to 1,073.25, 1,611.02 and 457.25

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Solution

The fourth proportional to 1,073.25, 1,611.02 and 457.25 is: 686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.25 : 1,611.02 = 457.25 : x
  2. Step 2: Convert to fraction form
    1,073.25/1,611.02 = 457.25/x
  3. Step 3: Cross multiply
    1,073.25x = 1,611.02 × 457.25
  4. Step 4: Simplify right side
    1,073.25x = 736,631.98
  5. Step 5: Solve for x
    x = 736,631.98/1,073.25
  6. Step 6: Final answer
    x = 686.36

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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.