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Finding the Fourth Proportional to 702.72, 967.02 and 648

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Solution

The fourth proportional to 702.72, 967.02 and 648 is: 891.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.72 : 967.02 = 648 : x
  2. Step 2: Convert to fraction form
    702.72/967.02 = 648/x
  3. Step 3: Cross multiply
    702.72x = 967.02 × 648
  4. Step 4: Simplify right side
    702.72x = 626,628.96
  5. Step 5: Solve for x
    x = 626,628.96/702.72
  6. Step 6: Final answer
    x = 891.72

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