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Finding the Fourth Proportional to 499.45, 744.08 and 468.02

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Solution

The fourth proportional to 499.45, 744.08 and 468.02 is: 697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.45 : 744.08 = 468.02 : x
  2. Step 2: Convert to fraction form
    499.45/744.08 = 468.02/x
  3. Step 3: Cross multiply
    499.45x = 744.08 × 468.02
  4. Step 4: Simplify right side
    499.45x = 348,244.32
  5. Step 5: Solve for x
    x = 348,244.32/499.45
  6. Step 6: Final answer
    x = 697.26

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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.