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Finding the Fourth Proportional to 565.33, 779.52 and 486.55

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Solution

The fourth proportional to 565.33, 779.52 and 486.55 is: 670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.33 : 779.52 = 486.55 : x
  2. Step 2: Convert to fraction form
    565.33/779.52 = 486.55/x
  3. Step 3: Cross multiply
    565.33x = 779.52 × 486.55
  4. Step 4: Simplify right side
    565.33x = 379,275.46
  5. Step 5: Solve for x
    x = 379,275.46/565.33
  6. Step 6: Final answer
    x = 670.89

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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.