Home / 1,208.20-1,666.08-814.54

Finding the Fourth Proportional to 1,208.20, 1,666.08 and 814.54

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Solution

The fourth proportional to 1,208.20, 1,666.08 and 814.54 is: 1,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.20 : 1,666.08 = 814.54 : x
  2. Step 2: Convert to fraction form
    1,208.20/1,666.08 = 814.54/x
  3. Step 3: Cross multiply
    1,208.20x = 1,666.08 × 814.54
  4. Step 4: Simplify right side
    1,208.20x = 1,357,088.80
  5. Step 5: Solve for x
    x = 1,357,088.80/1,208.20
  6. Step 6: Final answer
    x = 1,123.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.