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Finding the Fourth Proportional to 1,026.68, 1,540.56 and 784.76

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Solution

The fourth proportional to 1,026.68, 1,540.56 and 784.76 is: 1,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.68 : 1,540.56 = 784.76 : x
  2. Step 2: Convert to fraction form
    1,026.68/1,540.56 = 784.76/x
  3. Step 3: Cross multiply
    1,026.68x = 1,540.56 × 784.76
  4. Step 4: Simplify right side
    1,026.68x = 1,208,969.87
  5. Step 5: Solve for x
    x = 1,208,969.87/1,026.68
  6. Step 6: Final answer
    x = 1,177.55

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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.