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Finding the Fourth Proportional to 720.83, 1,081.01 and 355.87

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Solution

The fourth proportional to 720.83, 1,081.01 and 355.87 is: 533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.83 : 1,081.01 = 355.87 : x
  2. Step 2: Convert to fraction form
    720.83/1,081.01 = 355.87/x
  3. Step 3: Cross multiply
    720.83x = 1,081.01 × 355.87
  4. Step 4: Simplify right side
    720.83x = 384,701.27
  5. Step 5: Solve for x
    x = 384,701.27/720.83
  6. Step 6: Final answer
    x = 533.69

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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.