Home / 1,415.20-2,123.20-549.28

Finding the Fourth Proportional to 1,415.20, 2,123.20 and 549.28

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Solution

The fourth proportional to 1,415.20, 2,123.20 and 549.28 is: 824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.20 : 2,123.20 = 549.28 : x
  2. Step 2: Convert to fraction form
    1,415.20/2,123.20 = 549.28/x
  3. Step 3: Cross multiply
    1,415.20x = 2,123.20 × 549.28
  4. Step 4: Simplify right side
    1,415.20x = 1,166,231.30
  5. Step 5: Solve for x
    x = 1,166,231.30/1,415.20
  6. Step 6: Final answer
    x = 824.08

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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.