Home / 1,564.26-2,346.57-730.89

Finding the Fourth Proportional to 1,564.26, 2,346.57 and 730.89

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Solution

The fourth proportional to 1,564.26, 2,346.57 and 730.89 is: 1,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.26 : 2,346.57 = 730.89 : x
  2. Step 2: Convert to fraction form
    1,564.26/2,346.57 = 730.89/x
  3. Step 3: Cross multiply
    1,564.26x = 2,346.57 × 730.89
  4. Step 4: Simplify right side
    1,564.26x = 1,715,084.55
  5. Step 5: Solve for x
    x = 1,715,084.55/1,564.26
  6. Step 6: Final answer
    x = 1,096.42

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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.