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Finding the Fourth Proportional to 565.63, 780.50 and 329.63

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Solution

The fourth proportional to 565.63, 780.50 and 329.63 is: 454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.63 : 780.50 = 329.63 : x
  2. Step 2: Convert to fraction form
    565.63/780.50 = 329.63/x
  3. Step 3: Cross multiply
    565.63x = 780.50 × 329.63
  4. Step 4: Simplify right side
    565.63x = 257,270.66
  5. Step 5: Solve for x
    x = 257,270.66/565.63
  6. Step 6: Final answer
    x = 454.84

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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.