Home / 1,769.07-2,653.43-470.64

Finding the Fourth Proportional to 1,769.07, 2,653.43 and 470.64

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Solution

The fourth proportional to 1,769.07, 2,653.43 and 470.64 is: 705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.07 : 2,653.43 = 470.64 : x
  2. Step 2: Convert to fraction form
    1,769.07/2,653.43 = 470.64/x
  3. Step 3: Cross multiply
    1,769.07x = 2,653.43 × 470.64
  4. Step 4: Simplify right side
    1,769.07x = 1,248,807.94
  5. Step 5: Solve for x
    x = 1,248,807.94/1,769.07
  6. Step 6: Final answer
    x = 705.91

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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.