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Finding the Fourth Proportional to 565.52, 780.52 and 329.50

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Solution

The fourth proportional to 565.52, 780.52 and 329.50 is: 454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.52 : 780.52 = 329.50 : x
  2. Step 2: Convert to fraction form
    565.52/780.52 = 329.50/x
  3. Step 3: Cross multiply
    565.52x = 780.52 × 329.50
  4. Step 4: Simplify right side
    565.52x = 257,181.34
  5. Step 5: Solve for x
    x = 257,181.34/565.52
  6. Step 6: Final answer
    x = 454.77

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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.