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Finding the Fourth Proportional to 1,062.92, 1,595.55 and 784.41

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Solution

The fourth proportional to 1,062.92, 1,595.55 and 784.41 is: 1,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.92 : 1,595.55 = 784.41 : x
  2. Step 2: Convert to fraction form
    1,062.92/1,595.55 = 784.41/x
  3. Step 3: Cross multiply
    1,062.92x = 1,595.55 × 784.41
  4. Step 4: Simplify right side
    1,062.92x = 1,251,562.41
  5. Step 5: Solve for x
    x = 1,251,562.41/1,062.92
  6. Step 6: Final answer
    x = 1,177.47

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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.