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Finding the Fourth Proportional to 561.04, 774.21 and 312.34

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Solution

The fourth proportional to 561.04, 774.21 and 312.34 is: 431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.04 : 774.21 = 312.34 : x
  2. Step 2: Convert to fraction form
    561.04/774.21 = 312.34/x
  3. Step 3: Cross multiply
    561.04x = 774.21 × 312.34
  4. Step 4: Simplify right side
    561.04x = 241,816.75
  5. Step 5: Solve for x
    x = 241,816.75/561.04
  6. Step 6: Final answer
    x = 431.02

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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.