Home / 1,043.73-1,566.13-459.14

Finding the Fourth Proportional to 1,043.73, 1,566.13 and 459.14

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Solution

The fourth proportional to 1,043.73, 1,566.13 and 459.14 is: 688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.73 : 1,566.13 = 459.14 : x
  2. Step 2: Convert to fraction form
    1,043.73/1,566.13 = 459.14/x
  3. Step 3: Cross multiply
    1,043.73x = 1,566.13 × 459.14
  4. Step 4: Simplify right side
    1,043.73x = 719,063.52
  5. Step 5: Solve for x
    x = 719,063.52/1,043.73
  6. Step 6: Final answer
    x = 688.94

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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.