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Finding the Fourth Proportional to 873.19, 1,311.65 and 548.78

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Solution

The fourth proportional to 873.19, 1,311.65 and 548.78 is: 824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.19 : 1,311.65 = 548.78 : x
  2. Step 2: Convert to fraction form
    873.19/1,311.65 = 548.78/x
  3. Step 3: Cross multiply
    873.19x = 1,311.65 × 548.78
  4. Step 4: Simplify right side
    873.19x = 719,811.94
  5. Step 5: Solve for x
    x = 719,811.94/873.19
  6. Step 6: Final answer
    x = 824.35

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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.