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Finding the Fourth Proportional to 720.10, 1,080.18 and 394.82

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Solution

The fourth proportional to 720.10, 1,080.18 and 394.82 is: 592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.10 : 1,080.18 = 394.82 : x
  2. Step 2: Convert to fraction form
    720.10/1,080.18 = 394.82/x
  3. Step 3: Cross multiply
    720.10x = 1,080.18 × 394.82
  4. Step 4: Simplify right side
    720.10x = 426,471.27
  5. Step 5: Solve for x
    x = 426,471.27/720.10
  6. Step 6: Final answer
    x = 592.24

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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.