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Finding the Fourth Proportional to 869.08, 1,199.30 and 476.07

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Solution

The fourth proportional to 869.08, 1,199.30 and 476.07 is: 656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.08 : 1,199.30 = 476.07 : x
  2. Step 2: Convert to fraction form
    869.08/1,199.30 = 476.07/x
  3. Step 3: Cross multiply
    869.08x = 1,199.30 × 476.07
  4. Step 4: Simplify right side
    869.08x = 570,950.75
  5. Step 5: Solve for x
    x = 570,950.75/869.08
  6. Step 6: Final answer
    x = 656.96

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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.