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Finding the Fourth Proportional to 720.65, 1,080.93 and 309.71

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Solution

The fourth proportional to 720.65, 1,080.93 and 309.71 is: 464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.65 : 1,080.93 = 309.71 : x
  2. Step 2: Convert to fraction form
    720.65/1,080.93 = 309.71/x
  3. Step 3: Cross multiply
    720.65x = 1,080.93 × 309.71
  4. Step 4: Simplify right side
    720.65x = 334,774.83
  5. Step 5: Solve for x
    x = 334,774.83/720.65
  6. Step 6: Final answer
    x = 464.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.