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Finding the Fourth Proportional to 561.49, 774.73 and 340.45

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Solution

The fourth proportional to 561.49, 774.73 and 340.45 is: 469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.49 : 774.73 = 340.45 : x
  2. Step 2: Convert to fraction form
    561.49/774.73 = 340.45/x
  3. Step 3: Cross multiply
    561.49x = 774.73 × 340.45
  4. Step 4: Simplify right side
    561.49x = 263,756.83
  5. Step 5: Solve for x
    x = 263,756.83/561.49
  6. Step 6: Final answer
    x = 469.74

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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.