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Finding the Fourth Proportional to 805.41, 1,207.08 and 702.21

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Solution

The fourth proportional to 805.41, 1,207.08 and 702.21 is: 1,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.41 : 1,207.08 = 702.21 : x
  2. Step 2: Convert to fraction form
    805.41/1,207.08 = 702.21/x
  3. Step 3: Cross multiply
    805.41x = 1,207.08 × 702.21
  4. Step 4: Simplify right side
    805.41x = 847,623.65
  5. Step 5: Solve for x
    x = 847,623.65/805.41
  6. Step 6: Final answer
    x = 1,052.41

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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.