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Finding the Fourth Proportional to 749.00, 1,033.61 and 417.40

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Solution

The fourth proportional to 749.00, 1,033.61 and 417.40 is: 576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.00 : 1,033.61 = 417.40 : x
  2. Step 2: Convert to fraction form
    749.00/1,033.61 = 417.40/x
  3. Step 3: Cross multiply
    749.00x = 1,033.61 × 417.40
  4. Step 4: Simplify right side
    749.00x = 431,432.30
  5. Step 5: Solve for x
    x = 431,432.30/749.00
  6. Step 6: Final answer
    x = 576.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.