Home / 1,416.28-2,124.96-538.72

Finding the Fourth Proportional to 1,416.28, 2,124.96 and 538.72

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Solution

The fourth proportional to 1,416.28, 2,124.96 and 538.72 is: 808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.28 : 2,124.96 = 538.72 : x
  2. Step 2: Convert to fraction form
    1,416.28/2,124.96 = 538.72/x
  3. Step 3: Cross multiply
    1,416.28x = 2,124.96 × 538.72
  4. Step 4: Simplify right side
    1,416.28x = 1,144,758.45
  5. Step 5: Solve for x
    x = 1,144,758.45/1,416.28
  6. Step 6: Final answer
    x = 808.29

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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.