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Finding the Fourth Proportional to 1,685.06, 2,527.69 and 515.10

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Solution

The fourth proportional to 1,685.06, 2,527.69 and 515.10 is: 772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.06 : 2,527.69 = 515.10 : x
  2. Step 2: Convert to fraction form
    1,685.06/2,527.69 = 515.10/x
  3. Step 3: Cross multiply
    1,685.06x = 2,527.69 × 515.10
  4. Step 4: Simplify right side
    1,685.06x = 1,302,013.12
  5. Step 5: Solve for x
    x = 1,302,013.12/1,685.06
  6. Step 6: Final answer
    x = 772.68

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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.