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Finding the Fourth Proportional to 485.55, 731.34 and 442.53

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Solution

The fourth proportional to 485.55, 731.34 and 442.53 is: 666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.55 : 731.34 = 442.53 : x
  2. Step 2: Convert to fraction form
    485.55/731.34 = 442.53/x
  3. Step 3: Cross multiply
    485.55x = 731.34 × 442.53
  4. Step 4: Simplify right side
    485.55x = 323,639.89
  5. Step 5: Solve for x
    x = 323,639.89/485.55
  6. Step 6: Final answer
    x = 666.54

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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.