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Finding the Fourth Proportional to 946.97, 1,306.31 and 644.03

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Solution

The fourth proportional to 946.97, 1,306.31 and 644.03 is: 888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.97 : 1,306.31 = 644.03 : x
  2. Step 2: Convert to fraction form
    946.97/1,306.31 = 644.03/x
  3. Step 3: Cross multiply
    946.97x = 1,306.31 × 644.03
  4. Step 4: Simplify right side
    946.97x = 841,302.83
  5. Step 5: Solve for x
    x = 841,302.83/946.97
  6. Step 6: Final answer
    x = 888.42

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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.