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Finding the Fourth Proportional to 500.98, 755.34 and 497.86

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Solution

The fourth proportional to 500.98, 755.34 and 497.86 is: 750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.98 : 755.34 = 497.86 : x
  2. Step 2: Convert to fraction form
    500.98/755.34 = 497.86/x
  3. Step 3: Cross multiply
    500.98x = 755.34 × 497.86
  4. Step 4: Simplify right side
    500.98x = 376,051.08
  5. Step 5: Solve for x
    x = 376,051.08/500.98
  6. Step 6: Final answer
    x = 750.63

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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.