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Finding the Fourth Proportional to 507.79, 756.86 and 506.98

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Solution

The fourth proportional to 507.79, 756.86 and 506.98 is: 755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.79 : 756.86 = 506.98 : x
  2. Step 2: Convert to fraction form
    507.79/756.86 = 506.98/x
  3. Step 3: Cross multiply
    507.79x = 756.86 × 506.98
  4. Step 4: Simplify right side
    507.79x = 383,712.88
  5. Step 5: Solve for x
    x = 383,712.88/507.79
  6. Step 6: Final answer
    x = 755.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.