Home / 1,311.18-1,966.90-478.47

Finding the Fourth Proportional to 1,311.18, 1,966.90 and 478.47

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Solution

The fourth proportional to 1,311.18, 1,966.90 and 478.47 is: 717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.18 : 1,966.90 = 478.47 : x
  2. Step 2: Convert to fraction form
    1,311.18/1,966.90 = 478.47/x
  3. Step 3: Cross multiply
    1,311.18x = 1,966.90 × 478.47
  4. Step 4: Simplify right side
    1,311.18x = 941,098.66
  5. Step 5: Solve for x
    x = 941,098.66/1,311.18
  6. Step 6: Final answer
    x = 717.75

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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.