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Finding the Fourth Proportional to 603.24, 831.78 and 370.14

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Solution

The fourth proportional to 603.24, 831.78 and 370.14 is: 510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.24 : 831.78 = 370.14 : x
  2. Step 2: Convert to fraction form
    603.24/831.78 = 370.14/x
  3. Step 3: Cross multiply
    603.24x = 831.78 × 370.14
  4. Step 4: Simplify right side
    603.24x = 307,875.05
  5. Step 5: Solve for x
    x = 307,875.05/603.24
  6. Step 6: Final answer
    x = 510.37

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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.