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Finding the Fourth Proportional to 674.58, 1,010.82 and 511.77

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Solution

The fourth proportional to 674.58, 1,010.82 and 511.77 is: 766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.58 : 1,010.82 = 511.77 : x
  2. Step 2: Convert to fraction form
    674.58/1,010.82 = 511.77/x
  3. Step 3: Cross multiply
    674.58x = 1,010.82 × 511.77
  4. Step 4: Simplify right side
    674.58x = 517,307.35
  5. Step 5: Solve for x
    x = 517,307.35/674.58
  6. Step 6: Final answer
    x = 766.86

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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.