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Finding the Fourth Proportional to 1,161.87, 1,742.79 and 340.14

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Solution

The fourth proportional to 1,161.87, 1,742.79 and 340.14 is: 510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.87 : 1,742.79 = 340.14 : x
  2. Step 2: Convert to fraction form
    1,161.87/1,742.79 = 340.14/x
  3. Step 3: Cross multiply
    1,161.87x = 1,742.79 × 340.14
  4. Step 4: Simplify right side
    1,161.87x = 592,792.59
  5. Step 5: Solve for x
    x = 592,792.59/1,161.87
  6. Step 6: Final answer
    x = 510.21

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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.