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Finding the Fourth Proportional to 1,033.31, 1,550.02 and 417.01

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Solution

The fourth proportional to 1,033.31, 1,550.02 and 417.01 is: 625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.31 : 1,550.02 = 417.01 : x
  2. Step 2: Convert to fraction form
    1,033.31/1,550.02 = 417.01/x
  3. Step 3: Cross multiply
    1,033.31x = 1,550.02 × 417.01
  4. Step 4: Simplify right side
    1,033.31x = 646,373.84
  5. Step 5: Solve for x
    x = 646,373.84/1,033.31
  6. Step 6: Final answer
    x = 625.54

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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.