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Finding the Fourth Proportional to 930.87, 1,284.89 and 581.85

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Solution

The fourth proportional to 930.87, 1,284.89 and 581.85 is: 803.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.87 : 1,284.89 = 581.85 : x
  2. Step 2: Convert to fraction form
    930.87/1,284.89 = 581.85/x
  3. Step 3: Cross multiply
    930.87x = 1,284.89 × 581.85
  4. Step 4: Simplify right side
    930.87x = 747,610.34
  5. Step 5: Solve for x
    x = 747,610.34/930.87
  6. Step 6: Final answer
    x = 803.13

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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.