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Finding the Fourth Proportional to 499.77, 688.91 and 433.22

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Solution

The fourth proportional to 499.77, 688.91 and 433.22 is: 597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.77 : 688.91 = 433.22 : x
  2. Step 2: Convert to fraction form
    499.77/688.91 = 433.22/x
  3. Step 3: Cross multiply
    499.77x = 688.91 × 433.22
  4. Step 4: Simplify right side
    499.77x = 298,443.98
  5. Step 5: Solve for x
    x = 298,443.98/499.77
  6. Step 6: Final answer
    x = 597.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.