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Finding the Fourth Proportional to 992.01, 1,488.15 and 414.75

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Solution

The fourth proportional to 992.01, 1,488.15 and 414.75 is: 622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.01 : 1,488.15 = 414.75 : x
  2. Step 2: Convert to fraction form
    992.01/1,488.15 = 414.75/x
  3. Step 3: Cross multiply
    992.01x = 1,488.15 × 414.75
  4. Step 4: Simplify right side
    992.01x = 617,210.21
  5. Step 5: Solve for x
    x = 617,210.21/992.01
  6. Step 6: Final answer
    x = 622.18

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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.