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Finding the Fourth Proportional to 603.16, 831.51 and 470.56

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Solution

The fourth proportional to 603.16, 831.51 and 470.56 is: 648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.16 : 831.51 = 470.56 : x
  2. Step 2: Convert to fraction form
    603.16/831.51 = 470.56/x
  3. Step 3: Cross multiply
    603.16x = 831.51 × 470.56
  4. Step 4: Simplify right side
    603.16x = 391,275.35
  5. Step 5: Solve for x
    x = 391,275.35/603.16
  6. Step 6: Final answer
    x = 648.71

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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.