Home / 1,566.29-2,349.80-470.69

Finding the Fourth Proportional to 1,566.29, 2,349.80 and 470.69

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Solution

The fourth proportional to 1,566.29, 2,349.80 and 470.69 is: 706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.29 : 2,349.80 = 470.69 : x
  2. Step 2: Convert to fraction form
    1,566.29/2,349.80 = 470.69/x
  3. Step 3: Cross multiply
    1,566.29x = 2,349.80 × 470.69
  4. Step 4: Simplify right side
    1,566.29x = 1,106,013.26
  5. Step 5: Solve for x
    x = 1,106,013.26/1,566.29
  6. Step 6: Final answer
    x = 706.14

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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.