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Finding the Fourth Proportional to 870.50, 1,305.81 and 376.94

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Solution

The fourth proportional to 870.50, 1,305.81 and 376.94 is: 565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.50 : 1,305.81 = 376.94 : x
  2. Step 2: Convert to fraction form
    870.50/1,305.81 = 376.94/x
  3. Step 3: Cross multiply
    870.50x = 1,305.81 × 376.94
  4. Step 4: Simplify right side
    870.50x = 492,205.49
  5. Step 5: Solve for x
    x = 492,205.49/870.50
  6. Step 6: Final answer
    x = 565.43

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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.