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Finding the Fourth Proportional to 564.35, 778.75 and 365.19

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Solution

The fourth proportional to 564.35, 778.75 and 365.19 is: 503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.35 : 778.75 = 365.19 : x
  2. Step 2: Convert to fraction form
    564.35/778.75 = 365.19/x
  3. Step 3: Cross multiply
    564.35x = 778.75 × 365.19
  4. Step 4: Simplify right side
    564.35x = 284,391.71
  5. Step 5: Solve for x
    x = 284,391.71/564.35
  6. Step 6: Final answer
    x = 503.93

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Double scale
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Similar ratio
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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.