Home / 1,769.32-2,653.80-470.92

Finding the Fourth Proportional to 1,769.32, 2,653.80 and 470.92

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Solution

The fourth proportional to 1,769.32, 2,653.80 and 470.92 is: 706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.32 : 2,653.80 = 470.92 : x
  2. Step 2: Convert to fraction form
    1,769.32/2,653.80 = 470.92/x
  3. Step 3: Cross multiply
    1,769.32x = 2,653.80 × 470.92
  4. Step 4: Simplify right side
    1,769.32x = 1,249,727.50
  5. Step 5: Solve for x
    x = 1,249,727.50/1,769.32
  6. Step 6: Final answer
    x = 706.33

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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.