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Finding the Fourth Proportional to 500.90, 749.96 and 345.98

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Solution

The fourth proportional to 500.90, 749.96 and 345.98 is: 518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.90 : 749.96 = 345.98 : x
  2. Step 2: Convert to fraction form
    500.90/749.96 = 345.98/x
  3. Step 3: Cross multiply
    500.90x = 749.96 × 345.98
  4. Step 4: Simplify right side
    500.90x = 259,465.68
  5. Step 5: Solve for x
    x = 259,465.68/500.90
  6. Step 6: Final answer
    x = 518.00

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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.