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Finding the Fourth Proportional to 565.71, 848.90 and 257.56

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Solution

The fourth proportional to 565.71, 848.90 and 257.56 is: 386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.71 : 848.90 = 257.56 : x
  2. Step 2: Convert to fraction form
    565.71/848.90 = 257.56/x
  3. Step 3: Cross multiply
    565.71x = 848.90 × 257.56
  4. Step 4: Simplify right side
    565.71x = 218,642.68
  5. Step 5: Solve for x
    x = 218,642.68/565.71
  6. Step 6: Final answer
    x = 386.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.