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Finding the Fourth Proportional to 720.87, 1,080.90 and 355.83

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Solution

The fourth proportional to 720.87, 1,080.90 and 355.83 is: 533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.87 : 1,080.90 = 355.83 : x
  2. Step 2: Convert to fraction form
    720.87/1,080.90 = 355.83/x
  3. Step 3: Cross multiply
    720.87x = 1,080.90 × 355.83
  4. Step 4: Simplify right side
    720.87x = 384,616.65
  5. Step 5: Solve for x
    x = 384,616.65/720.87
  6. Step 6: Final answer
    x = 533.55

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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.