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Finding the Fourth Proportional to 565.69, 849.12 and 257.76

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Solution

The fourth proportional to 565.69, 849.12 and 257.76 is: 386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.69 : 849.12 = 257.76 : x
  2. Step 2: Convert to fraction form
    565.69/849.12 = 257.76/x
  3. Step 3: Cross multiply
    565.69x = 849.12 × 257.76
  4. Step 4: Simplify right side
    565.69x = 218,870.89
  5. Step 5: Solve for x
    x = 218,870.89/565.69
  6. Step 6: Final answer
    x = 386.91

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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.