Home / 1,723.42-2,585.49-569.17

Finding the Fourth Proportional to 1,723.42, 2,585.49 and 569.17

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Solution

The fourth proportional to 1,723.42, 2,585.49 and 569.17 is: 853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.42 : 2,585.49 = 569.17 : x
  2. Step 2: Convert to fraction form
    1,723.42/2,585.49 = 569.17/x
  3. Step 3: Cross multiply
    1,723.42x = 2,585.49 × 569.17
  4. Step 4: Simplify right side
    1,723.42x = 1,471,583.34
  5. Step 5: Solve for x
    x = 1,471,583.34/1,723.42
  6. Step 6: Final answer
    x = 853.87

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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.