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Finding the Fourth Proportional to 604.28, 831.50 and 588.14

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Solution

The fourth proportional to 604.28, 831.50 and 588.14 is: 809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.28 : 831.50 = 588.14 : x
  2. Step 2: Convert to fraction form
    604.28/831.50 = 588.14/x
  3. Step 3: Cross multiply
    604.28x = 831.50 × 588.14
  4. Step 4: Simplify right side
    604.28x = 489,038.41
  5. Step 5: Solve for x
    x = 489,038.41/604.28
  6. Step 6: Final answer
    x = 809.29

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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.