Home / 1,566.46-2,349.72-470.84

Finding the Fourth Proportional to 1,566.46, 2,349.72 and 470.84

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Solution

The fourth proportional to 1,566.46, 2,349.72 and 470.84 is: 706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.46 : 2,349.72 = 470.84 : x
  2. Step 2: Convert to fraction form
    1,566.46/2,349.72 = 470.84/x
  3. Step 3: Cross multiply
    1,566.46x = 2,349.72 × 470.84
  4. Step 4: Simplify right side
    1,566.46x = 1,106,342.16
  5. Step 5: Solve for x
    x = 1,106,342.16/1,566.46
  6. Step 6: Final answer
    x = 706.27

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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.