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Finding the Fourth Proportional to 1,895.58, 2,843.28 and 470.79

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Solution

The fourth proportional to 1,895.58, 2,843.28 and 470.79 is: 706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.58 : 2,843.28 = 470.79 : x
  2. Step 2: Convert to fraction form
    1,895.58/2,843.28 = 470.79/x
  3. Step 3: Cross multiply
    1,895.58x = 2,843.28 × 470.79
  4. Step 4: Simplify right side
    1,895.58x = 1,338,587.79
  5. Step 5: Solve for x
    x = 1,338,587.79/1,895.58
  6. Step 6: Final answer
    x = 706.16

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1.5x scale

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.