Home / 1,769.39-2,654.14-470.86

Finding the Fourth Proportional to 1,769.39, 2,654.14 and 470.86

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Solution

The fourth proportional to 1,769.39, 2,654.14 and 470.86 is: 706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.39 : 2,654.14 = 470.86 : x
  2. Step 2: Convert to fraction form
    1,769.39/2,654.14 = 470.86/x
  3. Step 3: Cross multiply
    1,769.39x = 2,654.14 × 470.86
  4. Step 4: Simplify right side
    1,769.39x = 1,249,726.01
  5. Step 5: Solve for x
    x = 1,249,726.01/1,769.39
  6. Step 6: Final answer
    x = 706.30

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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.