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Finding the Fourth Proportional to 1,268.85, 1,901.76 and 652.85

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Solution

The fourth proportional to 1,268.85, 1,901.76 and 652.85 is: 978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.85 : 1,901.76 = 652.85 : x
  2. Step 2: Convert to fraction form
    1,268.85/1,901.76 = 652.85/x
  3. Step 3: Cross multiply
    1,268.85x = 1,901.76 × 652.85
  4. Step 4: Simplify right side
    1,268.85x = 1,241,564.02
  5. Step 5: Solve for x
    x = 1,241,564.02/1,268.85
  6. Step 6: Final answer
    x = 978.50

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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.