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Finding the Fourth Proportional to 847.36, 1,270.91 and 292.15

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Solution

The fourth proportional to 847.36, 1,270.91 and 292.15 is: 438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.36 : 1,270.91 = 292.15 : x
  2. Step 2: Convert to fraction form
    847.36/1,270.91 = 292.15/x
  3. Step 3: Cross multiply
    847.36x = 1,270.91 × 292.15
  4. Step 4: Simplify right side
    847.36x = 371,294.90
  5. Step 5: Solve for x
    x = 371,294.90/847.36
  6. Step 6: Final answer
    x = 438.18

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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.