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Finding the Fourth Proportional to 878.01, 1,209.19 and 858.88

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Solution

The fourth proportional to 878.01, 1,209.19 and 858.88 is: 1,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.01 : 1,209.19 = 858.88 : x
  2. Step 2: Convert to fraction form
    878.01/1,209.19 = 858.88/x
  3. Step 3: Cross multiply
    878.01x = 1,209.19 × 858.88
  4. Step 4: Simplify right side
    878.01x = 1,038,549.11
  5. Step 5: Solve for x
    x = 1,038,549.11/878.01
  6. Step 6: Final answer
    x = 1,182.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.