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Finding the Fourth Proportional to 601.83, 831.20 and 414.99

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Solution

The fourth proportional to 601.83, 831.20 and 414.99 is: 573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.83 : 831.20 = 414.99 : x
  2. Step 2: Convert to fraction form
    601.83/831.20 = 414.99/x
  3. Step 3: Cross multiply
    601.83x = 831.20 × 414.99
  4. Step 4: Simplify right side
    601.83x = 344,937.61
  5. Step 5: Solve for x
    x = 344,937.61/601.83
  6. Step 6: Final answer
    x = 573.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.