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Finding the Fourth Proportional to 482.43, 720.56 and 417.63

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Solution

The fourth proportional to 482.43, 720.56 and 417.63 is: 623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.43 : 720.56 = 417.63 : x
  2. Step 2: Convert to fraction form
    482.43/720.56 = 417.63/x
  3. Step 3: Cross multiply
    482.43x = 720.56 × 417.63
  4. Step 4: Simplify right side
    482.43x = 300,925.38
  5. Step 5: Solve for x
    x = 300,925.38/482.43
  6. Step 6: Final answer
    x = 623.77

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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.