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Finding the Fourth Proportional to 565.57, 777.70 and 506.18

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Solution

The fourth proportional to 565.57, 777.70 and 506.18 is: 696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.57 : 777.70 = 506.18 : x
  2. Step 2: Convert to fraction form
    565.57/777.70 = 506.18/x
  3. Step 3: Cross multiply
    565.57x = 777.70 × 506.18
  4. Step 4: Simplify right side
    565.57x = 393,653.66
  5. Step 5: Solve for x
    x = 393,653.66/565.57
  6. Step 6: Final answer
    x = 696.04

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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.