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Finding the Fourth Proportional to 557.61, 831.81 and 518.32

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Solution

The fourth proportional to 557.61, 831.81 and 518.32 is: 773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.61 : 831.81 = 518.32 : x
  2. Step 2: Convert to fraction form
    557.61/831.81 = 518.32/x
  3. Step 3: Cross multiply
    557.61x = 831.81 × 518.32
  4. Step 4: Simplify right side
    557.61x = 431,143.76
  5. Step 5: Solve for x
    x = 431,143.76/557.61
  6. Step 6: Final answer
    x = 773.20

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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.