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Finding the Fourth Proportional to 676.05, 931.89 and 509.99

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Solution

The fourth proportional to 676.05, 931.89 and 509.99 is: 702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.05 : 931.89 = 509.99 : x
  2. Step 2: Convert to fraction form
    676.05/931.89 = 509.99/x
  3. Step 3: Cross multiply
    676.05x = 931.89 × 509.99
  4. Step 4: Simplify right side
    676.05x = 475,249.92
  5. Step 5: Solve for x
    x = 475,249.92/676.05
  6. Step 6: Final answer
    x = 702.98

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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.