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Finding the Fourth Proportional to 564.09, 777.96 and 364.95

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Solution

The fourth proportional to 564.09, 777.96 and 364.95 is: 503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.09 : 777.96 = 364.95 : x
  2. Step 2: Convert to fraction form
    564.09/777.96 = 364.95/x
  3. Step 3: Cross multiply
    564.09x = 777.96 × 364.95
  4. Step 4: Simplify right side
    564.09x = 283,916.50
  5. Step 5: Solve for x
    x = 283,916.50/564.09
  6. Step 6: Final answer
    x = 503.32

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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.