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Finding the Fourth Proportional to 566.50, 853.53 and 511.72

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Solution

The fourth proportional to 566.50, 853.53 and 511.72 is: 770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.50 : 853.53 = 511.72 : x
  2. Step 2: Convert to fraction form
    566.50/853.53 = 511.72/x
  3. Step 3: Cross multiply
    566.50x = 853.53 × 511.72
  4. Step 4: Simplify right side
    566.50x = 436,766.24
  5. Step 5: Solve for x
    x = 436,766.24/566.50
  6. Step 6: Final answer
    x = 770.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.