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Finding the Fourth Proportional to 557.28, 831.48 and 520.32

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Solution

The fourth proportional to 557.28, 831.48 and 520.32 is: 776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.28 : 831.48 = 520.32 : x
  2. Step 2: Convert to fraction form
    557.28/831.48 = 520.32/x
  3. Step 3: Cross multiply
    557.28x = 831.48 × 520.32
  4. Step 4: Simplify right side
    557.28x = 432,635.67
  5. Step 5: Solve for x
    x = 432,635.67/557.28
  6. Step 6: Final answer
    x = 776.33

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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.