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Finding the Fourth Proportional to 565.43, 846.63 and 455.19

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Solution

The fourth proportional to 565.43, 846.63 and 455.19 is: 681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.43 : 846.63 = 455.19 : x
  2. Step 2: Convert to fraction form
    565.43/846.63 = 455.19/x
  3. Step 3: Cross multiply
    565.43x = 846.63 × 455.19
  4. Step 4: Simplify right side
    565.43x = 385,377.51
  5. Step 5: Solve for x
    x = 385,377.51/565.43
  6. Step 6: Final answer
    x = 681.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.