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Finding the Fourth Proportional to 930.87, 1,398.15 and 584.82

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Solution

The fourth proportional to 930.87, 1,398.15 and 584.82 is: 878.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.87 : 1,398.15 = 584.82 : x
  2. Step 2: Convert to fraction form
    930.87/1,398.15 = 584.82/x
  3. Step 3: Cross multiply
    930.87x = 1,398.15 × 584.82
  4. Step 4: Simplify right side
    930.87x = 817,666.08
  5. Step 5: Solve for x
    x = 817,666.08/930.87
  6. Step 6: Final answer
    x = 878.39

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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.