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Finding the Fourth Proportional to 1,515.93, 2,275.10 and 785.71

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Solution

The fourth proportional to 1,515.93, 2,275.10 and 785.71 is: 1,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.93 : 2,275.10 = 785.71 : x
  2. Step 2: Convert to fraction form
    1,515.93/2,275.10 = 785.71/x
  3. Step 3: Cross multiply
    1,515.93x = 2,275.10 × 785.71
  4. Step 4: Simplify right side
    1,515.93x = 1,787,568.82
  5. Step 5: Solve for x
    x = 1,787,568.82/1,515.93
  6. Step 6: Final answer
    x = 1,179.19

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1.5x scale

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.