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Finding the Fourth Proportional to 565.89, 776.33 and 551.58

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Solution

The fourth proportional to 565.89, 776.33 and 551.58 is: 756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.89 : 776.33 = 551.58 : x
  2. Step 2: Convert to fraction form
    565.89/776.33 = 551.58/x
  3. Step 3: Cross multiply
    565.89x = 776.33 × 551.58
  4. Step 4: Simplify right side
    565.89x = 428,205.34
  5. Step 5: Solve for x
    x = 428,205.34/565.89
  6. Step 6: Final answer
    x = 756.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.