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Finding the Fourth Proportional to 561.30, 774.37 and 340.17

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Solution

The fourth proportional to 561.30, 774.37 and 340.17 is: 469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.30 : 774.37 = 340.17 : x
  2. Step 2: Convert to fraction form
    561.30/774.37 = 340.17/x
  3. Step 3: Cross multiply
    561.30x = 774.37 × 340.17
  4. Step 4: Simplify right side
    561.30x = 263,417.44
  5. Step 5: Solve for x
    x = 263,417.44/561.30
  6. Step 6: Final answer
    x = 469.30

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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.