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Finding the Fourth Proportional to 1,268.74, 1,903.29 and 652.51

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Solution

The fourth proportional to 1,268.74, 1,903.29 and 652.51 is: 978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.74 : 1,903.29 = 652.51 : x
  2. Step 2: Convert to fraction form
    1,268.74/1,903.29 = 652.51/x
  3. Step 3: Cross multiply
    1,268.74x = 1,903.29 × 652.51
  4. Step 4: Simplify right side
    1,268.74x = 1,241,915.76
  5. Step 5: Solve for x
    x = 1,241,915.76/1,268.74
  6. Step 6: Final answer
    x = 978.86

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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.