Home / 1,178.13-1,627.19-784.47

Finding the Fourth Proportional to 1,178.13, 1,627.19 and 784.47

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Solution

The fourth proportional to 1,178.13, 1,627.19 and 784.47 is: 1,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.13 : 1,627.19 = 784.47 : x
  2. Step 2: Convert to fraction form
    1,178.13/1,627.19 = 784.47/x
  3. Step 3: Cross multiply
    1,178.13x = 1,627.19 × 784.47
  4. Step 4: Simplify right side
    1,178.13x = 1,276,488.33
  5. Step 5: Solve for x
    x = 1,276,488.33/1,178.13
  6. Step 6: Final answer
    x = 1,083.48

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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.