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Finding the Fourth Proportional to 1,109.69, 1,664.53 and 340.19

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Solution

The fourth proportional to 1,109.69, 1,664.53 and 340.19 is: 510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.69 : 1,664.53 = 340.19 : x
  2. Step 2: Convert to fraction form
    1,109.69/1,664.53 = 340.19/x
  3. Step 3: Cross multiply
    1,109.69x = 1,664.53 × 340.19
  4. Step 4: Simplify right side
    1,109.69x = 566,256.46
  5. Step 5: Solve for x
    x = 566,256.46/1,109.69
  6. Step 6: Final answer
    x = 510.28

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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.