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Finding the Fourth Proportional to 807.09, 1,211.32 and 442.13

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Solution

The fourth proportional to 807.09, 1,211.32 and 442.13 is: 663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.09 : 1,211.32 = 442.13 : x
  2. Step 2: Convert to fraction form
    807.09/1,211.32 = 442.13/x
  3. Step 3: Cross multiply
    807.09x = 1,211.32 × 442.13
  4. Step 4: Simplify right side
    807.09x = 535,560.91
  5. Step 5: Solve for x
    x = 535,560.91/807.09
  6. Step 6: Final answer
    x = 663.57

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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.