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Finding the Fourth Proportional to 603.24, 831.60 and 428.28

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Solution

The fourth proportional to 603.24, 831.60 and 428.28 is: 590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.24 : 831.60 = 428.28 : x
  2. Step 2: Convert to fraction form
    603.24/831.60 = 428.28/x
  3. Step 3: Cross multiply
    603.24x = 831.60 × 428.28
  4. Step 4: Simplify right side
    603.24x = 356,155.51
  5. Step 5: Solve for x
    x = 356,155.51/603.24
  6. Step 6: Final answer
    x = 590.40

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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.