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Finding the Fourth Proportional to 602.65, 831.71 and 378.75

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Solution

The fourth proportional to 602.65, 831.71 and 378.75 is: 522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.65 : 831.71 = 378.75 : x
  2. Step 2: Convert to fraction form
    602.65/831.71 = 378.75/x
  3. Step 3: Cross multiply
    602.65x = 831.71 × 378.75
  4. Step 4: Simplify right side
    602.65x = 315,010.16
  5. Step 5: Solve for x
    x = 315,010.16/602.65
  6. Step 6: Final answer
    x = 522.71

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1.5x scale

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.