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Finding the Fourth Proportional to 1,033.30, 1,550.08 and 340.05

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Solution

The fourth proportional to 1,033.30, 1,550.08 and 340.05 is: 510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.30 : 1,550.08 = 340.05 : x
  2. Step 2: Convert to fraction form
    1,033.30/1,550.08 = 340.05/x
  3. Step 3: Cross multiply
    1,033.30x = 1,550.08 × 340.05
  4. Step 4: Simplify right side
    1,033.30x = 527,104.70
  5. Step 5: Solve for x
    x = 527,104.70/1,033.30
  6. Step 6: Final answer
    x = 510.12

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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.