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Finding the Fourth Proportional to 676.76, 934.26 and 511.07

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Solution

The fourth proportional to 676.76, 934.26 and 511.07 is: 705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.76 : 934.26 = 511.07 : x
  2. Step 2: Convert to fraction form
    676.76/934.26 = 511.07/x
  3. Step 3: Cross multiply
    676.76x = 934.26 × 511.07
  4. Step 4: Simplify right side
    676.76x = 477,472.26
  5. Step 5: Solve for x
    x = 477,472.26/676.76
  6. Step 6: Final answer
    x = 705.53

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Double scale
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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.