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Finding the Fourth Proportional to 485.35, 731.08 and 442.29

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Solution

The fourth proportional to 485.35, 731.08 and 442.29 is: 666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.35 : 731.08 = 442.29 : x
  2. Step 2: Convert to fraction form
    485.35/731.08 = 442.29/x
  3. Step 3: Cross multiply
    485.35x = 731.08 × 442.29
  4. Step 4: Simplify right side
    485.35x = 323,349.37
  5. Step 5: Solve for x
    x = 323,349.37/485.35
  6. Step 6: Final answer
    x = 666.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.