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Finding the Fourth Proportional to 565.38, 780.98 and 418.77

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Solution

The fourth proportional to 565.38, 780.98 and 418.77 is: 578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.38 : 780.98 = 418.77 : x
  2. Step 2: Convert to fraction form
    565.38/780.98 = 418.77/x
  3. Step 3: Cross multiply
    565.38x = 780.98 × 418.77
  4. Step 4: Simplify right side
    565.38x = 327,048.90
  5. Step 5: Solve for x
    x = 327,048.90/565.38
  6. Step 6: Final answer
    x = 578.46

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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.