Home / 1,478.12-2,218.66-784.62

Finding the Fourth Proportional to 1,478.12, 2,218.66 and 784.62

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Solution

The fourth proportional to 1,478.12, 2,218.66 and 784.62 is: 1,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.12 : 2,218.66 = 784.62 : x
  2. Step 2: Convert to fraction form
    1,478.12/2,218.66 = 784.62/x
  3. Step 3: Cross multiply
    1,478.12x = 2,218.66 × 784.62
  4. Step 4: Simplify right side
    1,478.12x = 1,740,803.05
  5. Step 5: Solve for x
    x = 1,740,803.05/1,478.12
  6. Step 6: Final answer
    x = 1,177.72

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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.