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Finding the Fourth Proportional to 1,246.78, 1,870.60 and 784.90

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Solution

The fourth proportional to 1,246.78, 1,870.60 and 784.90 is: 1,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.78 : 1,870.60 = 784.90 : x
  2. Step 2: Convert to fraction form
    1,246.78/1,870.60 = 784.90/x
  3. Step 3: Cross multiply
    1,246.78x = 1,870.60 × 784.90
  4. Step 4: Simplify right side
    1,246.78x = 1,468,233.94
  5. Step 5: Solve for x
    x = 1,468,233.94/1,246.78
  6. Step 6: Final answer
    x = 1,177.62

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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.