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Finding the Fourth Proportional to 482.38, 719.86 and 404.62

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Solution

The fourth proportional to 482.38, 719.86 and 404.62 is: 603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.38 : 719.86 = 404.62 : x
  2. Step 2: Convert to fraction form
    482.38/719.86 = 404.62/x
  3. Step 3: Cross multiply
    482.38x = 719.86 × 404.62
  4. Step 4: Simplify right side
    482.38x = 291,269.75
  5. Step 5: Solve for x
    x = 291,269.75/482.38
  6. Step 6: Final answer
    x = 603.82

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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.