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Finding the Fourth Proportional to 1,046.78, 1,571.31 and 608.51

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Solution

The fourth proportional to 1,046.78, 1,571.31 and 608.51 is: 913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.78 : 1,571.31 = 608.51 : x
  2. Step 2: Convert to fraction form
    1,046.78/1,571.31 = 608.51/x
  3. Step 3: Cross multiply
    1,046.78x = 1,571.31 × 608.51
  4. Step 4: Simplify right side
    1,046.78x = 956,157.85
  5. Step 5: Solve for x
    x = 956,157.85/1,046.78
  6. Step 6: Final answer
    x = 913.43

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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.