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Finding the Fourth Proportional to 423.46, 630.47 and 417.39

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Solution

The fourth proportional to 423.46, 630.47 and 417.39 is: 621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.46 : 630.47 = 417.39 : x
  2. Step 2: Convert to fraction form
    423.46/630.47 = 417.39/x
  3. Step 3: Cross multiply
    423.46x = 630.47 × 417.39
  4. Step 4: Simplify right side
    423.46x = 263,151.87
  5. Step 5: Solve for x
    x = 263,151.87/423.46
  6. Step 6: Final answer
    x = 621.43

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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.