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Finding the Fourth Proportional to 832.58, 1,142.12 and 782.90

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Solution

The fourth proportional to 832.58, 1,142.12 and 782.90 is: 1,073.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.58 : 1,142.12 = 782.90 : x
  2. Step 2: Convert to fraction form
    832.58/1,142.12 = 782.90/x
  3. Step 3: Cross multiply
    832.58x = 1,142.12 × 782.90
  4. Step 4: Simplify right side
    832.58x = 894,165.75
  5. Step 5: Solve for x
    x = 894,165.75/832.58
  6. Step 6: Final answer
    x = 1,073.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.