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Finding the Fourth Proportional to 992.30, 1,488.44 and 334.91

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Solution

The fourth proportional to 992.30, 1,488.44 and 334.91 is: 502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.30 : 1,488.44 = 334.91 : x
  2. Step 2: Convert to fraction form
    992.30/1,488.44 = 334.91/x
  3. Step 3: Cross multiply
    992.30x = 1,488.44 × 334.91
  4. Step 4: Simplify right side
    992.30x = 498,498.00
  5. Step 5: Solve for x
    x = 498,498.00/992.30
  6. Step 6: Final answer
    x = 502.37

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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.