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Finding the Fourth Proportional to 564.57, 776.32 and 505.18

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Solution

The fourth proportional to 564.57, 776.32 and 505.18 is: 694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.57 : 776.32 = 505.18 : x
  2. Step 2: Convert to fraction form
    564.57/776.32 = 505.18/x
  3. Step 3: Cross multiply
    564.57x = 776.32 × 505.18
  4. Step 4: Simplify right side
    564.57x = 392,178.81
  5. Step 5: Solve for x
    x = 392,178.81/564.57
  6. Step 6: Final answer
    x = 694.66

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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.