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Finding the Fourth Proportional to 702.74, 1,054.07 and 215.78

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Solution

The fourth proportional to 702.74, 1,054.07 and 215.78 is: 323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.74 : 1,054.07 = 215.78 : x
  2. Step 2: Convert to fraction form
    702.74/1,054.07 = 215.78/x
  3. Step 3: Cross multiply
    702.74x = 1,054.07 × 215.78
  4. Step 4: Simplify right side
    702.74x = 227,447.22
  5. Step 5: Solve for x
    x = 227,447.22/702.74
  6. Step 6: Final answer
    x = 323.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.