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Finding the Fourth Proportional to 1,011.16, 1,515.65 and 721.72

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Solution

The fourth proportional to 1,011.16, 1,515.65 and 721.72 is: 1,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.16 : 1,515.65 = 721.72 : x
  2. Step 2: Convert to fraction form
    1,011.16/1,515.65 = 721.72/x
  3. Step 3: Cross multiply
    1,011.16x = 1,515.65 × 721.72
  4. Step 4: Simplify right side
    1,011.16x = 1,093,872.93
  5. Step 5: Solve for x
    x = 1,093,872.93/1,011.16
  6. Step 6: Final answer
    x = 1,081.80

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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.