Home / 1,566.50-2,349.66-470.84

Finding the Fourth Proportional to 1,566.50, 2,349.66 and 470.84

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Solution

The fourth proportional to 1,566.50, 2,349.66 and 470.84 is: 706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.50 : 2,349.66 = 470.84 : x
  2. Step 2: Convert to fraction form
    1,566.50/2,349.66 = 470.84/x
  3. Step 3: Cross multiply
    1,566.50x = 2,349.66 × 470.84
  4. Step 4: Simplify right side
    1,566.50x = 1,106,313.91
  5. Step 5: Solve for x
    x = 1,106,313.91/1,566.50
  6. Step 6: Final answer
    x = 706.23

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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.