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Finding the Fourth Proportional to 1,033.57, 1,550.54 and 340.27

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Solution

The fourth proportional to 1,033.57, 1,550.54 and 340.27 is: 510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.57 : 1,550.54 = 340.27 : x
  2. Step 2: Convert to fraction form
    1,033.57/1,550.54 = 340.27/x
  3. Step 3: Cross multiply
    1,033.57x = 1,550.54 × 340.27
  4. Step 4: Simplify right side
    1,033.57x = 527,602.25
  5. Step 5: Solve for x
    x = 527,602.25/1,033.57
  6. Step 6: Final answer
    x = 510.47

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1.5x scale

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.