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Finding the Fourth Proportional to 561.86, 775.13 and 352

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Solution

The fourth proportional to 561.86, 775.13 and 352 is: 485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.86 : 775.13 = 352 : x
  2. Step 2: Convert to fraction form
    561.86/775.13 = 352/x
  3. Step 3: Cross multiply
    561.86x = 775.13 × 352
  4. Step 4: Simplify right side
    561.86x = 272,845.76
  5. Step 5: Solve for x
    x = 272,845.76/561.86
  6. Step 6: Final answer
    x = 485.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.