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Finding the Fourth Proportional to 992.50, 1,488.82 and 334.34

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Solution

The fourth proportional to 992.50, 1,488.82 and 334.34 is: 501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.50 : 1,488.82 = 334.34 : x
  2. Step 2: Convert to fraction form
    992.50/1,488.82 = 334.34/x
  3. Step 3: Cross multiply
    992.50x = 1,488.82 × 334.34
  4. Step 4: Simplify right side
    992.50x = 497,772.08
  5. Step 5: Solve for x
    x = 497,772.08/992.50
  6. Step 6: Final answer
    x = 501.53

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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.