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Finding the Fourth Proportional to 557.70, 831.62 and 552.75

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Solution

The fourth proportional to 557.70, 831.62 and 552.75 is: 824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.70 : 831.62 = 552.75 : x
  2. Step 2: Convert to fraction form
    557.70/831.62 = 552.75/x
  3. Step 3: Cross multiply
    557.70x = 831.62 × 552.75
  4. Step 4: Simplify right side
    557.70x = 459,677.96
  5. Step 5: Solve for x
    x = 459,677.96/557.70
  6. Step 6: Final answer
    x = 824.24

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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.