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Finding the Fourth Proportional to 1,074.69, 1,611.51 and 458.06

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Solution

The fourth proportional to 1,074.69, 1,611.51 and 458.06 is: 686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.69 : 1,611.51 = 458.06 : x
  2. Step 2: Convert to fraction form
    1,074.69/1,611.51 = 458.06/x
  3. Step 3: Cross multiply
    1,074.69x = 1,611.51 × 458.06
  4. Step 4: Simplify right side
    1,074.69x = 738,160.21
  5. Step 5: Solve for x
    x = 738,160.21/1,074.69
  6. Step 6: Final answer
    x = 686.86

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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.