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Finding the Fourth Proportional to 485.42, 722.66 and 478.58

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Solution

The fourth proportional to 485.42, 722.66 and 478.58 is: 712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.42 : 722.66 = 478.58 : x
  2. Step 2: Convert to fraction form
    485.42/722.66 = 478.58/x
  3. Step 3: Cross multiply
    485.42x = 722.66 × 478.58
  4. Step 4: Simplify right side
    485.42x = 345,844.62
  5. Step 5: Solve for x
    x = 345,844.62/485.42
  6. Step 6: Final answer
    x = 712.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.