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Finding the Fourth Proportional to 505.74, 697.11 and 365.87

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Solution

The fourth proportional to 505.74, 697.11 and 365.87 is: 504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.74 : 697.11 = 365.87 : x
  2. Step 2: Convert to fraction form
    505.74/697.11 = 365.87/x
  3. Step 3: Cross multiply
    505.74x = 697.11 × 365.87
  4. Step 4: Simplify right side
    505.74x = 255,048.09
  5. Step 5: Solve for x
    x = 255,048.09/505.74
  6. Step 6: Final answer
    x = 504.30

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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.