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Finding the Fourth Proportional to 557.96, 831.36 and 533.12

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Solution

The fourth proportional to 557.96, 831.36 and 533.12 is: 794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.96 : 831.36 = 533.12 : x
  2. Step 2: Convert to fraction form
    557.96/831.36 = 533.12/x
  3. Step 3: Cross multiply
    557.96x = 831.36 × 533.12
  4. Step 4: Simplify right side
    557.96x = 443,212.49
  5. Step 5: Solve for x
    x = 443,212.49/557.96
  6. Step 6: Final answer
    x = 794.35

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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.