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Finding the Fourth Proportional to 924.39, 1,376.64 and 868.50

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Solution

The fourth proportional to 924.39, 1,376.64 and 868.50 is: 1,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.39 : 1,376.64 = 868.50 : x
  2. Step 2: Convert to fraction form
    924.39/1,376.64 = 868.50/x
  3. Step 3: Cross multiply
    924.39x = 1,376.64 × 868.50
  4. Step 4: Simplify right side
    924.39x = 1,195,611.84
  5. Step 5: Solve for x
    x = 1,195,611.84/924.39
  6. Step 6: Final answer
    x = 1,293.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.