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Finding the Fourth Proportional to 482.77, 720.66 and 424.38

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Solution

The fourth proportional to 482.77, 720.66 and 424.38 is: 633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.77 : 720.66 = 424.38 : x
  2. Step 2: Convert to fraction form
    482.77/720.66 = 424.38/x
  3. Step 3: Cross multiply
    482.77x = 720.66 × 424.38
  4. Step 4: Simplify right side
    482.77x = 305,833.69
  5. Step 5: Solve for x
    x = 305,833.69/482.77
  6. Step 6: Final answer
    x = 633.50

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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.