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Finding the Fourth Proportional to 461.08, 690.69 and 287.32

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Solution

The fourth proportional to 461.08, 690.69 and 287.32 is: 430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.08 : 690.69 = 287.32 : x
  2. Step 2: Convert to fraction form
    461.08/690.69 = 287.32/x
  3. Step 3: Cross multiply
    461.08x = 690.69 × 287.32
  4. Step 4: Simplify right side
    461.08x = 198,449.05
  5. Step 5: Solve for x
    x = 198,449.05/461.08
  6. Step 6: Final answer
    x = 430.40

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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.