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Finding the Fourth Proportional to 482.63, 720.45 and 424.24

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Solution

The fourth proportional to 482.63, 720.45 and 424.24 is: 633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.63 : 720.45 = 424.24 : x
  2. Step 2: Convert to fraction form
    482.63/720.45 = 424.24/x
  3. Step 3: Cross multiply
    482.63x = 720.45 × 424.24
  4. Step 4: Simplify right side
    482.63x = 305,643.71
  5. Step 5: Solve for x
    x = 305,643.71/482.63
  6. Step 6: Final answer
    x = 633.29

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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.