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Finding the Fourth Proportional to 602.51, 831.47 and 381.65

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Solution

The fourth proportional to 602.51, 831.47 and 381.65 is: 526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.51 : 831.47 = 381.65 : x
  2. Step 2: Convert to fraction form
    602.51/831.47 = 381.65/x
  3. Step 3: Cross multiply
    602.51x = 831.47 × 381.65
  4. Step 4: Simplify right side
    602.51x = 317,324.46
  5. Step 5: Solve for x
    x = 317,324.46/602.51
  6. Step 6: Final answer
    x = 526.68

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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.