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Finding the Fourth Proportional to 702.18, 1,046.22 and 666.96

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Solution

The fourth proportional to 702.18, 1,046.22 and 666.96 is: 993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.18 : 1,046.22 = 666.96 : x
  2. Step 2: Convert to fraction form
    702.18/1,046.22 = 666.96/x
  3. Step 3: Cross multiply
    702.18x = 1,046.22 × 666.96
  4. Step 4: Simplify right side
    702.18x = 697,786.89
  5. Step 5: Solve for x
    x = 697,786.89/702.18
  6. Step 6: Final answer
    x = 993.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.