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Finding the Fourth Proportional to 900.83, 1,352.66 and 537.24

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Solution

The fourth proportional to 900.83, 1,352.66 and 537.24 is: 806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.83 : 1,352.66 = 537.24 : x
  2. Step 2: Convert to fraction form
    900.83/1,352.66 = 537.24/x
  3. Step 3: Cross multiply
    900.83x = 1,352.66 × 537.24
  4. Step 4: Simplify right side
    900.83x = 726,703.06
  5. Step 5: Solve for x
    x = 726,703.06/900.83
  6. Step 6: Final answer
    x = 806.70

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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.