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Finding the Fourth Proportional to 561.46, 774.77 and 365.34

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Solution

The fourth proportional to 561.46, 774.77 and 365.34 is: 504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.46 : 774.77 = 365.34 : x
  2. Step 2: Convert to fraction form
    561.46/774.77 = 365.34/x
  3. Step 3: Cross multiply
    561.46x = 774.77 × 365.34
  4. Step 4: Simplify right side
    561.46x = 283,054.47
  5. Step 5: Solve for x
    x = 283,054.47/561.46
  6. Step 6: Final answer
    x = 504.14

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1.5x scale

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.