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Finding the Fourth Proportional to 1,142.78, 1,714.26 and 412.16

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Solution

The fourth proportional to 1,142.78, 1,714.26 and 412.16 is: 618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.78 : 1,714.26 = 412.16 : x
  2. Step 2: Convert to fraction form
    1,142.78/1,714.26 = 412.16/x
  3. Step 3: Cross multiply
    1,142.78x = 1,714.26 × 412.16
  4. Step 4: Simplify right side
    1,142.78x = 706,549.40
  5. Step 5: Solve for x
    x = 706,549.40/1,142.78
  6. Step 6: Final answer
    x = 618.27

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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.