Home / 1,039.29-1,557.98-414.24

Finding the Fourth Proportional to 1,039.29, 1,557.98 and 414.24

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Solution

The fourth proportional to 1,039.29, 1,557.98 and 414.24 is: 620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.29 : 1,557.98 = 414.24 : x
  2. Step 2: Convert to fraction form
    1,039.29/1,557.98 = 414.24/x
  3. Step 3: Cross multiply
    1,039.29x = 1,557.98 × 414.24
  4. Step 4: Simplify right side
    1,039.29x = 645,377.64
  5. Step 5: Solve for x
    x = 645,377.64/1,039.29
  6. Step 6: Final answer
    x = 620.98

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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.