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Finding the Fourth Proportional to 1,009.41, 1,514.63 and 416.87

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Solution

The fourth proportional to 1,009.41, 1,514.63 and 416.87 is: 625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.41 : 1,514.63 = 416.87 : x
  2. Step 2: Convert to fraction form
    1,009.41/1,514.63 = 416.87/x
  3. Step 3: Cross multiply
    1,009.41x = 1,514.63 × 416.87
  4. Step 4: Simplify right side
    1,009.41x = 631,398.98
  5. Step 5: Solve for x
    x = 631,398.98/1,009.41
  6. Step 6: Final answer
    x = 625.51

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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.