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Finding the Fourth Proportional to 2,170.45, 3,255.65 and 527.00

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Solution

The fourth proportional to 2,170.45, 3,255.65 and 527.00 is: 790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.45 : 3,255.65 = 527.00 : x
  2. Step 2: Convert to fraction form
    2,170.45/3,255.65 = 527.00/x
  3. Step 3: Cross multiply
    2,170.45x = 3,255.65 × 527.00
  4. Step 4: Simplify right side
    2,170.45x = 1,715,716.71
  5. Step 5: Solve for x
    x = 1,715,716.71/2,170.45
  6. Step 6: Final answer
    x = 790.49

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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.