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Finding the Fourth Proportional to 556.14, 831.15 and 512.36

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Solution

The fourth proportional to 556.14, 831.15 and 512.36 is: 765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.14 : 831.15 = 512.36 : x
  2. Step 2: Convert to fraction form
    556.14/831.15 = 512.36/x
  3. Step 3: Cross multiply
    556.14x = 831.15 × 512.36
  4. Step 4: Simplify right side
    556.14x = 425,843.86
  5. Step 5: Solve for x
    x = 425,843.86/556.14
  6. Step 6: Final answer
    x = 765.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.