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Finding the Fourth Proportional to 565.45, 780.13 and 344.32

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Solution

The fourth proportional to 565.45, 780.13 and 344.32 is: 475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.45 : 780.13 = 344.32 : x
  2. Step 2: Convert to fraction form
    565.45/780.13 = 344.32/x
  3. Step 3: Cross multiply
    565.45x = 780.13 × 344.32
  4. Step 4: Simplify right side
    565.45x = 268,614.36
  5. Step 5: Solve for x
    x = 268,614.36/565.45
  6. Step 6: Final answer
    x = 475.05

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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.