Home / 1,287.46-1,931.79-466.42

Finding the Fourth Proportional to 1,287.46, 1,931.79 and 466.42

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Solution

The fourth proportional to 1,287.46, 1,931.79 and 466.42 is: 699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.46 : 1,931.79 = 466.42 : x
  2. Step 2: Convert to fraction form
    1,287.46/1,931.79 = 466.42/x
  3. Step 3: Cross multiply
    1,287.46x = 1,931.79 × 466.42
  4. Step 4: Simplify right side
    1,287.46x = 901,025.49
  5. Step 5: Solve for x
    x = 901,025.49/1,287.46
  6. Step 6: Final answer
    x = 699.85

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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.