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Finding the Fourth Proportional to 1,246.52, 1,867.50 and 783.32

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Solution

The fourth proportional to 1,246.52, 1,867.50 and 783.32 is: 1,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.52 : 1,867.50 = 783.32 : x
  2. Step 2: Convert to fraction form
    1,246.52/1,867.50 = 783.32/x
  3. Step 3: Cross multiply
    1,246.52x = 1,867.50 × 783.32
  4. Step 4: Simplify right side
    1,246.52x = 1,462,850.10
  5. Step 5: Solve for x
    x = 1,462,850.10/1,246.52
  6. Step 6: Final answer
    x = 1,173.55

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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.