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Finding the Fourth Proportional to 926.91, 1,390.50 and 277.56

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Solution

The fourth proportional to 926.91, 1,390.50 and 277.56 is: 416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.91 : 1,390.50 = 277.56 : x
  2. Step 2: Convert to fraction form
    926.91/1,390.50 = 277.56/x
  3. Step 3: Cross multiply
    926.91x = 1,390.50 × 277.56
  4. Step 4: Simplify right side
    926.91x = 385,947.18
  5. Step 5: Solve for x
    x = 385,947.18/926.91
  6. Step 6: Final answer
    x = 416.38

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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.