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Finding the Fourth Proportional to 1,010.93, 1,514.97 and 906.15

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Solution

The fourth proportional to 1,010.93, 1,514.97 and 906.15 is: 1,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.93 : 1,514.97 = 906.15 : x
  2. Step 2: Convert to fraction form
    1,010.93/1,514.97 = 906.15/x
  3. Step 3: Cross multiply
    1,010.93x = 1,514.97 × 906.15
  4. Step 4: Simplify right side
    1,010.93x = 1,372,791.76
  5. Step 5: Solve for x
    x = 1,372,791.76/1,010.93
  6. Step 6: Final answer
    x = 1,357.95

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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.