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Finding the Fourth Proportional to 702.42, 964.07 and 644.10

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Solution

The fourth proportional to 702.42, 964.07 and 644.10 is: 884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.42 : 964.07 = 644.10 : x
  2. Step 2: Convert to fraction form
    702.42/964.07 = 644.10/x
  3. Step 3: Cross multiply
    702.42x = 964.07 × 644.10
  4. Step 4: Simplify right side
    702.42x = 620,954.27
  5. Step 5: Solve for x
    x = 620,954.27/702.42
  6. Step 6: Final answer
    x = 884.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.