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Finding the Fourth Proportional to 557.22, 831.09 and 471.12

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Solution

The fourth proportional to 557.22, 831.09 and 471.12 is: 702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.22 : 831.09 = 471.12 : x
  2. Step 2: Convert to fraction form
    557.22/831.09 = 471.12/x
  3. Step 3: Cross multiply
    557.22x = 831.09 × 471.12
  4. Step 4: Simplify right side
    557.22x = 391,543.12
  5. Step 5: Solve for x
    x = 391,543.12/557.22
  6. Step 6: Final answer
    x = 702.67

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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.