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Finding the Fourth Proportional to 1,217.29, 1,822.78 and 846.58

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Solution

The fourth proportional to 1,217.29, 1,822.78 and 846.58 is: 1,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.29 : 1,822.78 = 846.58 : x
  2. Step 2: Convert to fraction form
    1,217.29/1,822.78 = 846.58/x
  3. Step 3: Cross multiply
    1,217.29x = 1,822.78 × 846.58
  4. Step 4: Simplify right side
    1,217.29x = 1,543,124.86
  5. Step 5: Solve for x
    x = 1,543,124.86/1,217.29
  6. Step 6: Final answer
    x = 1,267.67

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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.