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Finding the Fourth Proportional to 565.23, 780.03 and 399.75

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Solution

The fourth proportional to 565.23, 780.03 and 399.75 is: 551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.23 : 780.03 = 399.75 : x
  2. Step 2: Convert to fraction form
    565.23/780.03 = 399.75/x
  3. Step 3: Cross multiply
    565.23x = 780.03 × 399.75
  4. Step 4: Simplify right side
    565.23x = 311,816.99
  5. Step 5: Solve for x
    x = 311,816.99/565.23
  6. Step 6: Final answer
    x = 551.66

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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.