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Finding the Fourth Proportional to 469.89, 705.74 and 287.64

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Solution

The fourth proportional to 469.89, 705.74 and 287.64 is: 432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.89 : 705.74 = 287.64 : x
  2. Step 2: Convert to fraction form
    469.89/705.74 = 287.64/x
  3. Step 3: Cross multiply
    469.89x = 705.74 × 287.64
  4. Step 4: Simplify right side
    469.89x = 202,997.62
  5. Step 5: Solve for x
    x = 202,997.62/469.89
  6. Step 6: Final answer
    x = 432.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.