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Finding the Fourth Proportional to 565.14, 780.20 and 388.20

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Solution

The fourth proportional to 565.14, 780.20 and 388.20 is: 535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.14 : 780.20 = 388.20 : x
  2. Step 2: Convert to fraction form
    565.14/780.20 = 388.20/x
  3. Step 3: Cross multiply
    565.14x = 780.20 × 388.20
  4. Step 4: Simplify right side
    565.14x = 302,874.61
  5. Step 5: Solve for x
    x = 302,874.61/565.14
  6. Step 6: Final answer
    x = 535.93

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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.