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Finding the Fourth Proportional to 917.85, 1,378.08 and 572.64

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Solution

The fourth proportional to 917.85, 1,378.08 and 572.64 is: 859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.85 : 1,378.08 = 572.64 : x
  2. Step 2: Convert to fraction form
    917.85/1,378.08 = 572.64/x
  3. Step 3: Cross multiply
    917.85x = 1,378.08 × 572.64
  4. Step 4: Simplify right side
    917.85x = 789,143.73
  5. Step 5: Solve for x
    x = 789,143.73/917.85
  6. Step 6: Final answer
    x = 859.77

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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.