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Finding the Fourth Proportional to 994.61, 1,371.80 and 663.47

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Solution

The fourth proportional to 994.61, 1,371.80 and 663.47 is: 915.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.61 : 1,371.80 = 663.47 : x
  2. Step 2: Convert to fraction form
    994.61/1,371.80 = 663.47/x
  3. Step 3: Cross multiply
    994.61x = 1,371.80 × 663.47
  4. Step 4: Simplify right side
    994.61x = 910,148.15
  5. Step 5: Solve for x
    x = 910,148.15/994.61
  6. Step 6: Final answer
    x = 915.08

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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.