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Finding the Fourth Proportional to 907.78, 1,251.28 and 612.54

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Solution

The fourth proportional to 907.78, 1,251.28 and 612.54 is: 844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.78 : 1,251.28 = 612.54 : x
  2. Step 2: Convert to fraction form
    907.78/1,251.28 = 612.54/x
  3. Step 3: Cross multiply
    907.78x = 1,251.28 × 612.54
  4. Step 4: Simplify right side
    907.78x = 766,452.79
  5. Step 5: Solve for x
    x = 766,452.79/907.78
  6. Step 6: Final answer
    x = 844.32

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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.