Home / 1,417.09-2,124.98-492.38

Finding the Fourth Proportional to 1,417.09, 2,124.98 and 492.38

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Solution

The fourth proportional to 1,417.09, 2,124.98 and 492.38 is: 738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.09 : 2,124.98 = 492.38 : x
  2. Step 2: Convert to fraction form
    1,417.09/2,124.98 = 492.38/x
  3. Step 3: Cross multiply
    1,417.09x = 2,124.98 × 492.38
  4. Step 4: Simplify right side
    1,417.09x = 1,046,284.57
  5. Step 5: Solve for x
    x = 1,046,284.57/1,417.09
  6. Step 6: Final answer
    x = 738.33

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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.