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Finding the Fourth Proportional to 561.12, 774.80 and 364.56

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Solution

The fourth proportional to 561.12, 774.80 and 364.56 is: 503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.12 : 774.80 = 364.56 : x
  2. Step 2: Convert to fraction form
    561.12/774.80 = 364.56/x
  3. Step 3: Cross multiply
    561.12x = 774.80 × 364.56
  4. Step 4: Simplify right side
    561.12x = 282,461.09
  5. Step 5: Solve for x
    x = 282,461.09/561.12
  6. Step 6: Final answer
    x = 503.39

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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.