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Finding the Fourth Proportional to 807.30, 1,212.30 and 442.35

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Solution

The fourth proportional to 807.30, 1,212.30 and 442.35 is: 664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.30 : 1,212.30 = 442.35 : x
  2. Step 2: Convert to fraction form
    807.30/1,212.30 = 442.35/x
  3. Step 3: Cross multiply
    807.30x = 1,212.30 × 442.35
  4. Step 4: Simplify right side
    807.30x = 536,260.91
  5. Step 5: Solve for x
    x = 536,260.91/807.30
  6. Step 6: Final answer
    x = 664.26

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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.