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Finding the Fourth Proportional to 505.33, 695.57 and 365.22

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Solution

The fourth proportional to 505.33, 695.57 and 365.22 is: 502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.33 : 695.57 = 365.22 : x
  2. Step 2: Convert to fraction form
    505.33/695.57 = 365.22/x
  3. Step 3: Cross multiply
    505.33x = 695.57 × 365.22
  4. Step 4: Simplify right side
    505.33x = 254,036.99
  5. Step 5: Solve for x
    x = 254,036.99/505.33
  6. Step 6: Final answer
    x = 502.72

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Double scale
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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.