Home / 1,415.28-2,122.50-549.40

Finding the Fourth Proportional to 1,415.28, 2,122.50 and 549.40

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Solution

The fourth proportional to 1,415.28, 2,122.50 and 549.40 is: 823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.28 : 2,122.50 = 549.40 : x
  2. Step 2: Convert to fraction form
    1,415.28/2,122.50 = 549.40/x
  3. Step 3: Cross multiply
    1,415.28x = 2,122.50 × 549.40
  4. Step 4: Simplify right side
    1,415.28x = 1,166,101.50
  5. Step 5: Solve for x
    x = 1,166,101.50/1,415.28
  6. Step 6: Final answer
    x = 823.94

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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.