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Finding the Fourth Proportional to 1,416.67, 2,124.19 and 549.97

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Solution

The fourth proportional to 1,416.67, 2,124.19 and 549.97 is: 824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.67 : 2,124.19 = 549.97 : x
  2. Step 2: Convert to fraction form
    1,416.67/2,124.19 = 549.97/x
  3. Step 3: Cross multiply
    1,416.67x = 2,124.19 × 549.97
  4. Step 4: Simplify right side
    1,416.67x = 1,168,239.40
  5. Step 5: Solve for x
    x = 1,168,239.40/1,416.67
  6. Step 6: Final answer
    x = 824.64

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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.