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Finding the Fourth Proportional to 869.82, 1,304.93 and 623.14

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Solution

The fourth proportional to 869.82, 1,304.93 and 623.14 is: 934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.82 : 1,304.93 = 623.14 : x
  2. Step 2: Convert to fraction form
    869.82/1,304.93 = 623.14/x
  3. Step 3: Cross multiply
    869.82x = 1,304.93 × 623.14
  4. Step 4: Simplify right side
    869.82x = 813,152.38
  5. Step 5: Solve for x
    x = 813,152.38/869.82
  6. Step 6: Final answer
    x = 934.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.