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Finding the Fourth Proportional to 702.88, 967.52 and 610.72

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Solution

The fourth proportional to 702.88, 967.52 and 610.72 is: 840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.88 : 967.52 = 610.72 : x
  2. Step 2: Convert to fraction form
    702.88/967.52 = 610.72/x
  3. Step 3: Cross multiply
    702.88x = 967.52 × 610.72
  4. Step 4: Simplify right side
    702.88x = 590,883.81
  5. Step 5: Solve for x
    x = 590,883.81/702.88
  6. Step 6: Final answer
    x = 840.66

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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.