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Finding the Fourth Proportional to 720.70, 1,080.51 and 288.16

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Solution

The fourth proportional to 720.70, 1,080.51 and 288.16 is: 432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.70 : 1,080.51 = 288.16 : x
  2. Step 2: Convert to fraction form
    720.70/1,080.51 = 288.16/x
  3. Step 3: Cross multiply
    720.70x = 1,080.51 × 288.16
  4. Step 4: Simplify right side
    720.70x = 311,359.76
  5. Step 5: Solve for x
    x = 311,359.76/720.70
  6. Step 6: Final answer
    x = 432.02

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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.