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Finding the Fourth Proportional to 720.76, 1,081.16 and 309.84

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Solution

The fourth proportional to 720.76, 1,081.16 and 309.84 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.76 : 1,081.16 = 309.84 : x
  2. Step 2: Convert to fraction form
    720.76/1,081.16 = 309.84/x
  3. Step 3: Cross multiply
    720.76x = 1,081.16 × 309.84
  4. Step 4: Simplify right side
    720.76x = 334,986.61
  5. Step 5: Solve for x
    x = 334,986.61/720.76
  6. Step 6: Final answer
    x = 464.77

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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.