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Finding the Fourth Proportional to 1,755.17, 2,632.74 and 715.15

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Solution

The fourth proportional to 1,755.17, 2,632.74 and 715.15 is: 1,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.17 : 2,632.74 = 715.15 : x
  2. Step 2: Convert to fraction form
    1,755.17/2,632.74 = 715.15/x
  3. Step 3: Cross multiply
    1,755.17x = 2,632.74 × 715.15
  4. Step 4: Simplify right side
    1,755.17x = 1,882,794.75
  5. Step 5: Solve for x
    x = 1,882,794.75/1,755.17
  6. Step 6: Final answer
    x = 1,072.72

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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.