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Finding the Fourth Proportional to 720.32, 1,079.50 and 593.60

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Solution

The fourth proportional to 720.32, 1,079.50 and 593.60 is: 889.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.32 : 1,079.50 = 593.60 : x
  2. Step 2: Convert to fraction form
    720.32/1,079.50 = 593.60/x
  3. Step 3: Cross multiply
    720.32x = 1,079.50 × 593.60
  4. Step 4: Simplify right side
    720.32x = 640,791.20
  5. Step 5: Solve for x
    x = 640,791.20/720.32
  6. Step 6: Final answer
    x = 889.59

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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.