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Finding the Fourth Proportional to 603.15, 831.82 and 393.10

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Solution

The fourth proportional to 603.15, 831.82 and 393.10 is: 542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.15 : 831.82 = 393.10 : x
  2. Step 2: Convert to fraction form
    603.15/831.82 = 393.10/x
  3. Step 3: Cross multiply
    603.15x = 831.82 × 393.10
  4. Step 4: Simplify right side
    603.15x = 326,990.80
  5. Step 5: Solve for x
    x = 326,990.80/603.15
  6. Step 6: Final answer
    x = 542.14

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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.