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Finding the Fourth Proportional to 1,033.89, 1,550.14 and 340.31

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Solution

The fourth proportional to 1,033.89, 1,550.14 and 340.31 is: 510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.89 : 1,550.14 = 340.31 : x
  2. Step 2: Convert to fraction form
    1,033.89/1,550.14 = 340.31/x
  3. Step 3: Cross multiply
    1,033.89x = 1,550.14 × 340.31
  4. Step 4: Simplify right side
    1,033.89x = 527,531.17
  5. Step 5: Solve for x
    x = 527,531.17/1,033.89
  6. Step 6: Final answer
    x = 510.24

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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.