Home / 1,281.71-1,921.95-459.96

Finding the Fourth Proportional to 1,281.71, 1,921.95 and 459.96

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Solution

The fourth proportional to 1,281.71, 1,921.95 and 459.96 is: 689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.71 : 1,921.95 = 459.96 : x
  2. Step 2: Convert to fraction form
    1,281.71/1,921.95 = 459.96/x
  3. Step 3: Cross multiply
    1,281.71x = 1,921.95 × 459.96
  4. Step 4: Simplify right side
    1,281.71x = 884,020.12
  5. Step 5: Solve for x
    x = 884,020.12/1,281.71
  6. Step 6: Final answer
    x = 689.72

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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.