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Finding the Fourth Proportional to 1,268.76, 1,748.70 and 875.28

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Solution

The fourth proportional to 1,268.76, 1,748.70 and 875.28 is: 1,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.76 : 1,748.70 = 875.28 : x
  2. Step 2: Convert to fraction form
    1,268.76/1,748.70 = 875.28/x
  3. Step 3: Cross multiply
    1,268.76x = 1,748.70 × 875.28
  4. Step 4: Simplify right side
    1,268.76x = 1,530,602.14
  5. Step 5: Solve for x
    x = 1,530,602.14/1,268.76
  6. Step 6: Final answer
    x = 1,206.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.