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Finding the Fourth Proportional to 836.99, 1,156.17 and 642.93

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Solution

The fourth proportional to 836.99, 1,156.17 and 642.93 is: 888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.99 : 1,156.17 = 642.93 : x
  2. Step 2: Convert to fraction form
    836.99/1,156.17 = 642.93/x
  3. Step 3: Cross multiply
    836.99x = 1,156.17 × 642.93
  4. Step 4: Simplify right side
    836.99x = 743,336.38
  5. Step 5: Solve for x
    x = 743,336.38/836.99
  6. Step 6: Final answer
    x = 888.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.