Home / 1,566.22-2,349.42-470.56

Finding the Fourth Proportional to 1,566.22, 2,349.42 and 470.56

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Solution

The fourth proportional to 1,566.22, 2,349.42 and 470.56 is: 705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.22 : 2,349.42 = 470.56 : x
  2. Step 2: Convert to fraction form
    1,566.22/2,349.42 = 470.56/x
  3. Step 3: Cross multiply
    1,566.22x = 2,349.42 × 470.56
  4. Step 4: Simplify right side
    1,566.22x = 1,105,543.08
  5. Step 5: Solve for x
    x = 1,105,543.08/1,566.22
  6. Step 6: Final answer
    x = 705.87

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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.