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Finding the Fourth Proportional to 603.62, 831.21 and 560.06

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Solution

The fourth proportional to 603.62, 831.21 and 560.06 is: 771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.62 : 831.21 = 560.06 : x
  2. Step 2: Convert to fraction form
    603.62/831.21 = 560.06/x
  3. Step 3: Cross multiply
    603.62x = 831.21 × 560.06
  4. Step 4: Simplify right side
    603.62x = 465,527.47
  5. Step 5: Solve for x
    x = 465,527.47/603.62
  6. Step 6: Final answer
    x = 771.23

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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.