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Finding the Fourth Proportional to 720.93, 1,080.30 and 432.57

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Solution

The fourth proportional to 720.93, 1,080.30 and 432.57 is: 648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.93 : 1,080.30 = 432.57 : x
  2. Step 2: Convert to fraction form
    720.93/1,080.30 = 432.57/x
  3. Step 3: Cross multiply
    720.93x = 1,080.30 × 432.57
  4. Step 4: Simplify right side
    720.93x = 467,305.37
  5. Step 5: Solve for x
    x = 467,305.37/720.93
  6. Step 6: Final answer
    x = 648.20

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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.