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Finding the Fourth Proportional to 499.40, 744.70 and 464.77

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Solution

The fourth proportional to 499.40, 744.70 and 464.77 is: 693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.40 : 744.70 = 464.77 : x
  2. Step 2: Convert to fraction form
    499.40/744.70 = 464.77/x
  3. Step 3: Cross multiply
    499.40x = 744.70 × 464.77
  4. Step 4: Simplify right side
    499.40x = 346,111.90
  5. Step 5: Solve for x
    x = 346,111.90/499.40
  6. Step 6: Final answer
    x = 693.06

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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.