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Finding the Fourth Proportional to 870.92, 1,304.67 and 504.94

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Solution

The fourth proportional to 870.92, 1,304.67 and 504.94 is: 756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.92 : 1,304.67 = 504.94 : x
  2. Step 2: Convert to fraction form
    870.92/1,304.67 = 504.94/x
  3. Step 3: Cross multiply
    870.92x = 1,304.67 × 504.94
  4. Step 4: Simplify right side
    870.92x = 658,783.59
  5. Step 5: Solve for x
    x = 658,783.59/870.92
  6. Step 6: Final answer
    x = 756.42

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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.