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Finding the Fourth Proportional to 1,033.49, 1,550.14 and 417.02

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Solution

The fourth proportional to 1,033.49, 1,550.14 and 417.02 is: 625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.49 : 1,550.14 = 417.02 : x
  2. Step 2: Convert to fraction form
    1,033.49/1,550.14 = 417.02/x
  3. Step 3: Cross multiply
    1,033.49x = 1,550.14 × 417.02
  4. Step 4: Simplify right side
    1,033.49x = 646,430.59
  5. Step 5: Solve for x
    x = 646,430.59/1,033.49
  6. Step 6: Final answer
    x = 625.48

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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.