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Finding the Fourth Proportional to 720.34, 1,078.46 and 581.99

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Solution

The fourth proportional to 720.34, 1,078.46 and 581.99 is: 871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.34 : 1,078.46 = 581.99 : x
  2. Step 2: Convert to fraction form
    720.34/1,078.46 = 581.99/x
  3. Step 3: Cross multiply
    720.34x = 1,078.46 × 581.99
  4. Step 4: Simplify right side
    720.34x = 627,650.09
  5. Step 5: Solve for x
    x = 627,650.09/720.34
  6. Step 6: Final answer
    x = 871.32

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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.