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Finding the Fourth Proportional to 718.02, 1,074.42 and 440.58

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Solution

The fourth proportional to 718.02, 1,074.42 and 440.58 is: 659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.02 : 1,074.42 = 440.58 : x
  2. Step 2: Convert to fraction form
    718.02/1,074.42 = 440.58/x
  3. Step 3: Cross multiply
    718.02x = 1,074.42 × 440.58
  4. Step 4: Simplify right side
    718.02x = 473,367.96
  5. Step 5: Solve for x
    x = 473,367.96/718.02
  6. Step 6: Final answer
    x = 659.27

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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.