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Finding the Fourth Proportional to 420.73, 630.11 and 406.13

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Solution

The fourth proportional to 420.73, 630.11 and 406.13 is: 608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.73 : 630.11 = 406.13 : x
  2. Step 2: Convert to fraction form
    420.73/630.11 = 406.13/x
  3. Step 3: Cross multiply
    420.73x = 630.11 × 406.13
  4. Step 4: Simplify right side
    420.73x = 255,909.93
  5. Step 5: Solve for x
    x = 255,909.93/420.73
  6. Step 6: Final answer
    x = 608.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.