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Finding the Fourth Proportional to 869.47, 1,199.86 and 476.50

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Solution

The fourth proportional to 869.47, 1,199.86 and 476.50 is: 657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.47 : 1,199.86 = 476.50 : x
  2. Step 2: Convert to fraction form
    869.47/1,199.86 = 476.50/x
  3. Step 3: Cross multiply
    869.47x = 1,199.86 × 476.50
  4. Step 4: Simplify right side
    869.47x = 571,733.29
  5. Step 5: Solve for x
    x = 571,733.29/869.47
  6. Step 6: Final answer
    x = 657.57

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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.