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Finding the Fourth Proportional to 992.61, 1,368.54 and 814.91

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Solution

The fourth proportional to 992.61, 1,368.54 and 814.91 is: 1,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.61 : 1,368.54 = 814.91 : x
  2. Step 2: Convert to fraction form
    992.61/1,368.54 = 814.91/x
  3. Step 3: Cross multiply
    992.61x = 1,368.54 × 814.91
  4. Step 4: Simplify right side
    992.61x = 1,115,230.09
  5. Step 5: Solve for x
    x = 1,115,230.09/992.61
  6. Step 6: Final answer
    x = 1,123.53

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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.