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Finding the Fourth Proportional to 1,043.50, 1,565.96 and 394.27

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Solution

The fourth proportional to 1,043.50, 1,565.96 and 394.27 is: 591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.50 : 1,565.96 = 394.27 : x
  2. Step 2: Convert to fraction form
    1,043.50/1,565.96 = 394.27/x
  3. Step 3: Cross multiply
    1,043.50x = 1,565.96 × 394.27
  4. Step 4: Simplify right side
    1,043.50x = 617,409.08
  5. Step 5: Solve for x
    x = 617,409.08/1,043.50
  6. Step 6: Final answer
    x = 591.67

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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.