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Finding the Fourth Proportional to 1,462.79, 2,193.89 and 538.11

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Solution

The fourth proportional to 1,462.79, 2,193.89 and 538.11 is: 807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.79 : 2,193.89 = 538.11 : x
  2. Step 2: Convert to fraction form
    1,462.79/2,193.89 = 538.11/x
  3. Step 3: Cross multiply
    1,462.79x = 2,193.89 × 538.11
  4. Step 4: Simplify right side
    1,462.79x = 1,180,551.46
  5. Step 5: Solve for x
    x = 1,180,551.46/1,462.79
  6. Step 6: Final answer
    x = 807.05

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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.