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Finding the Fourth Proportional to 742.22, 1,111.50 and 468.84

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Solution

The fourth proportional to 742.22, 1,111.50 and 468.84 is: 702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.22 : 1,111.50 = 468.84 : x
  2. Step 2: Convert to fraction form
    742.22/1,111.50 = 468.84/x
  3. Step 3: Cross multiply
    742.22x = 1,111.50 × 468.84
  4. Step 4: Simplify right side
    742.22x = 521,115.66
  5. Step 5: Solve for x
    x = 521,115.66/742.22
  6. Step 6: Final answer
    x = 702.10

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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.