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Finding the Fourth Proportional to 1,807.65, 2,711.78 and 637.61

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Solution

The fourth proportional to 1,807.65, 2,711.78 and 637.61 is: 956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.65 : 2,711.78 = 637.61 : x
  2. Step 2: Convert to fraction form
    1,807.65/2,711.78 = 637.61/x
  3. Step 3: Cross multiply
    1,807.65x = 2,711.78 × 637.61
  4. Step 4: Simplify right side
    1,807.65x = 1,729,041.30
  5. Step 5: Solve for x
    x = 1,729,041.30/1,807.65
  6. Step 6: Final answer
    x = 956.51

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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.