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Finding the Fourth Proportional to 1,073.93, 1,611.26 and 458.15

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Solution

The fourth proportional to 1,073.93, 1,611.26 and 458.15 is: 687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.93 : 1,611.26 = 458.15 : x
  2. Step 2: Convert to fraction form
    1,073.93/1,611.26 = 458.15/x
  3. Step 3: Cross multiply
    1,073.93x = 1,611.26 × 458.15
  4. Step 4: Simplify right side
    1,073.93x = 738,200.51
  5. Step 5: Solve for x
    x = 738,200.51/1,073.93
  6. Step 6: Final answer
    x = 687.38

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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.