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Finding the Fourth Proportional to 720.12, 1,080.16 and 257.77

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Solution

The fourth proportional to 720.12, 1,080.16 and 257.77 is: 386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.12 : 1,080.16 = 257.77 : x
  2. Step 2: Convert to fraction form
    720.12/1,080.16 = 257.77/x
  3. Step 3: Cross multiply
    720.12x = 1,080.16 × 257.77
  4. Step 4: Simplify right side
    720.12x = 278,432.84
  5. Step 5: Solve for x
    x = 278,432.84/720.12
  6. Step 6: Final answer
    x = 386.65

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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.