Home / 1,044.20-1,566.08-459.20

Finding the Fourth Proportional to 1,044.20, 1,566.08 and 459.20

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Solution

The fourth proportional to 1,044.20, 1,566.08 and 459.20 is: 688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.20 : 1,566.08 = 459.20 : x
  2. Step 2: Convert to fraction form
    1,044.20/1,566.08 = 459.20/x
  3. Step 3: Cross multiply
    1,044.20x = 1,566.08 × 459.20
  4. Step 4: Simplify right side
    1,044.20x = 719,141.64
  5. Step 5: Solve for x
    x = 719,141.64/1,044.20
  6. Step 6: Final answer
    x = 688.70

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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.