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Finding the Fourth Proportional to 992.45, 1,488.78 and 334.33

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Solution

The fourth proportional to 992.45, 1,488.78 and 334.33 is: 501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.45 : 1,488.78 = 334.33 : x
  2. Step 2: Convert to fraction form
    992.45/1,488.78 = 334.33/x
  3. Step 3: Cross multiply
    992.45x = 1,488.78 × 334.33
  4. Step 4: Simplify right side
    992.45x = 497,740.10
  5. Step 5: Solve for x
    x = 497,740.10/992.45
  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.