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Finding the Fourth Proportional to 561.33, 774.61 and 312.68

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Solution

The fourth proportional to 561.33, 774.61 and 312.68 is: 431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.33 : 774.61 = 312.68 : x
  2. Step 2: Convert to fraction form
    561.33/774.61 = 312.68/x
  3. Step 3: Cross multiply
    561.33x = 774.61 × 312.68
  4. Step 4: Simplify right side
    561.33x = 242,200.40
  5. Step 5: Solve for x
    x = 242,200.40/561.33
  6. Step 6: Final answer
    x = 431.48

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