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Finding the Fourth Proportional to 992.08, 1,488.12 and 342.82

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Solution

The fourth proportional to 992.08, 1,488.12 and 342.82 is: 514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.08 : 1,488.12 = 342.82 : x
  2. Step 2: Convert to fraction form
    992.08/1,488.12 = 342.82/x
  3. Step 3: Cross multiply
    992.08x = 1,488.12 × 342.82
  4. Step 4: Simplify right side
    992.08x = 510,157.30
  5. Step 5: Solve for x
    x = 510,157.30/992.08
  6. Step 6: Final answer
    x = 514.23

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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.