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Finding the Fourth Proportional to 469.08, 699.44 and 433.64

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Solution

The fourth proportional to 469.08, 699.44 and 433.64 is: 646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.08 : 699.44 = 433.64 : x
  2. Step 2: Convert to fraction form
    469.08/699.44 = 433.64/x
  3. Step 3: Cross multiply
    469.08x = 699.44 × 433.64
  4. Step 4: Simplify right side
    469.08x = 303,305.16
  5. Step 5: Solve for x
    x = 303,305.16/469.08
  6. Step 6: Final answer
    x = 646.60

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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.