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Finding the Fourth Proportional to 991.74, 1,488.42 and 415.02

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Solution

The fourth proportional to 991.74, 1,488.42 and 415.02 is: 622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.74 : 1,488.42 = 415.02 : x
  2. Step 2: Convert to fraction form
    991.74/1,488.42 = 415.02/x
  3. Step 3: Cross multiply
    991.74x = 1,488.42 × 415.02
  4. Step 4: Simplify right side
    991.74x = 617,724.07
  5. Step 5: Solve for x
    x = 617,724.07/991.74
  6. Step 6: Final answer
    x = 622.87

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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.