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Finding the Fourth Proportional to 565.77, 780.51 and 426.63

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Solution

The fourth proportional to 565.77, 780.51 and 426.63 is: 588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.77 : 780.51 = 426.63 : x
  2. Step 2: Convert to fraction form
    565.77/780.51 = 426.63/x
  3. Step 3: Cross multiply
    565.77x = 780.51 × 426.63
  4. Step 4: Simplify right side
    565.77x = 332,988.98
  5. Step 5: Solve for x
    x = 332,988.98/565.77
  6. Step 6: Final answer
    x = 588.56

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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.