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Finding the Fourth Proportional to 901.83, 1,353.57 and 555.83

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Solution

The fourth proportional to 901.83, 1,353.57 and 555.83 is: 834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.83 : 1,353.57 = 555.83 : x
  2. Step 2: Convert to fraction form
    901.83/1,353.57 = 555.83/x
  3. Step 3: Cross multiply
    901.83x = 1,353.57 × 555.83
  4. Step 4: Simplify right side
    901.83x = 752,360.28
  5. Step 5: Solve for x
    x = 752,360.28/901.83
  6. Step 6: Final answer
    x = 834.26

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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.