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Finding the Fourth Proportional to 1,033.44, 1,549.55 and 417.17

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Solution

The fourth proportional to 1,033.44, 1,549.55 and 417.17 is: 625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.44 : 1,549.55 = 417.17 : x
  2. Step 2: Convert to fraction form
    1,033.44/1,549.55 = 417.17/x
  3. Step 3: Cross multiply
    1,033.44x = 1,549.55 × 417.17
  4. Step 4: Simplify right side
    1,033.44x = 646,419.07
  5. Step 5: Solve for x
    x = 646,419.07/1,033.44
  6. Step 6: Final answer
    x = 625.50

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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.