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Finding the Fourth Proportional to 992.98, 1,489.26 and 407.83

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Solution

The fourth proportional to 992.98, 1,489.26 and 407.83 is: 611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.98 : 1,489.26 = 407.83 : x
  2. Step 2: Convert to fraction form
    992.98/1,489.26 = 407.83/x
  3. Step 3: Cross multiply
    992.98x = 1,489.26 × 407.83
  4. Step 4: Simplify right side
    992.98x = 607,364.91
  5. Step 5: Solve for x
    x = 607,364.91/992.98
  6. Step 6: Final answer
    x = 611.66

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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.