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Finding the Fourth Proportional to 1,033.41, 1,550.10 and 417.10

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Solution

The fourth proportional to 1,033.41, 1,550.10 and 417.10 is: 625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.41 : 1,550.10 = 417.10 : x
  2. Step 2: Convert to fraction form
    1,033.41/1,550.10 = 417.10/x
  3. Step 3: Cross multiply
    1,033.41x = 1,550.10 × 417.10
  4. Step 4: Simplify right side
    1,033.41x = 646,546.71
  5. Step 5: Solve for x
    x = 646,546.71/1,033.41
  6. Step 6: Final answer
    x = 625.64

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Double scale
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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.