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Finding the Fourth Proportional to 420.24, 631.07 and 413.76

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Solution

The fourth proportional to 420.24, 631.07 and 413.76 is: 621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.24 : 631.07 = 413.76 : x
  2. Step 2: Convert to fraction form
    420.24/631.07 = 413.76/x
  3. Step 3: Cross multiply
    420.24x = 631.07 × 413.76
  4. Step 4: Simplify right side
    420.24x = 261,111.52
  5. Step 5: Solve for x
    x = 261,111.52/420.24
  6. Step 6: Final answer
    x = 621.34

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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.