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Finding the Fourth Proportional to 832.88, 1,154.30 and 820.40

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Solution

The fourth proportional to 832.88, 1,154.30 and 820.40 is: 1,137.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.88 : 1,154.30 = 820.40 : x
  2. Step 2: Convert to fraction form
    832.88/1,154.30 = 820.40/x
  3. Step 3: Cross multiply
    832.88x = 1,154.30 × 820.40
  4. Step 4: Simplify right side
    832.88x = 946,987.72
  5. Step 5: Solve for x
    x = 946,987.72/832.88
  6. Step 6: Final answer
    x = 1,137.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.