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Finding the Fourth Proportional to 869.87, 1,199.71 and 555.03

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Solution

The fourth proportional to 869.87, 1,199.71 and 555.03 is: 765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.87 : 1,199.71 = 555.03 : x
  2. Step 2: Convert to fraction form
    869.87/1,199.71 = 555.03/x
  3. Step 3: Cross multiply
    869.87x = 1,199.71 × 555.03
  4. Step 4: Simplify right side
    869.87x = 665,875.04
  5. Step 5: Solve for x
    x = 665,875.04/869.87
  6. Step 6: Final answer
    x = 765.49

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