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Finding the Fourth Proportional to 499.16, 745.05 and 468.38

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Solution

The fourth proportional to 499.16, 745.05 and 468.38 is: 699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.16 : 745.05 = 468.38 : x
  2. Step 2: Convert to fraction form
    499.16/745.05 = 468.38/x
  3. Step 3: Cross multiply
    499.16x = 745.05 × 468.38
  4. Step 4: Simplify right side
    499.16x = 348,967.50
  5. Step 5: Solve for x
    x = 348,967.50/499.16
  6. Step 6: Final answer
    x = 699.11

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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.