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Finding the Fourth Proportional to 992.55, 1,488.82 and 415.42

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Solution

The fourth proportional to 992.55, 1,488.82 and 415.42 is: 623.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.55 : 1,488.82 = 415.42 : x
  2. Step 2: Convert to fraction form
    992.55/1,488.82 = 415.42/x
  3. Step 3: Cross multiply
    992.55x = 1,488.82 × 415.42
  4. Step 4: Simplify right side
    992.55x = 618,485.60
  5. Step 5: Solve for x
    x = 618,485.60/992.55
  6. Step 6: Final answer
    x = 623.13

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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.