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Finding the Fourth Proportional to 875.57, 1,313.33 and 759.83

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Solution

The fourth proportional to 875.57, 1,313.33 and 759.83 is: 1,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.57 : 1,313.33 = 759.83 : x
  2. Step 2: Convert to fraction form
    875.57/1,313.33 = 759.83/x
  3. Step 3: Cross multiply
    875.57x = 1,313.33 × 759.83
  4. Step 4: Simplify right side
    875.57x = 997,897.17
  5. Step 5: Solve for x
    x = 997,897.17/875.57
  6. Step 6: Final answer
    x = 1,139.72

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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.