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Finding the Fourth Proportional to 992.57, 1,488.95 and 262.15

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Solution

The fourth proportional to 992.57, 1,488.95 and 262.15 is: 393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.57 : 1,488.95 = 262.15 : x
  2. Step 2: Convert to fraction form
    992.57/1,488.95 = 262.15/x
  3. Step 3: Cross multiply
    992.57x = 1,488.95 × 262.15
  4. Step 4: Simplify right side
    992.57x = 390,324.19
  5. Step 5: Solve for x
    x = 390,324.19/992.57
  6. Step 6: Final answer
    x = 393.25

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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.