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Finding the Fourth Proportional to 565.85, 780.66 and 355.88

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Solution

The fourth proportional to 565.85, 780.66 and 355.88 is: 490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.85 : 780.66 = 355.88 : x
  2. Step 2: Convert to fraction form
    565.85/780.66 = 355.88/x
  3. Step 3: Cross multiply
    565.85x = 780.66 × 355.88
  4. Step 4: Simplify right side
    565.85x = 277,823.23
  5. Step 5: Solve for x
    x = 277,823.23/565.85
  6. Step 6: Final answer
    x = 490.98

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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.