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Finding the Fourth Proportional to 1,515.77, 2,271.99 and 865.07

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Solution

The fourth proportional to 1,515.77, 2,271.99 and 865.07 is: 1,296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.77 : 2,271.99 = 865.07 : x
  2. Step 2: Convert to fraction form
    1,515.77/2,271.99 = 865.07/x
  3. Step 3: Cross multiply
    1,515.77x = 2,271.99 × 865.07
  4. Step 4: Simplify right side
    1,515.77x = 1,965,430.39
  5. Step 5: Solve for x
    x = 1,965,430.39/1,515.77
  6. Step 6: Final answer
    x = 1,296.65

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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.