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Finding the Fourth Proportional to 645.15, 894.87 and 623.02

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Solution

The fourth proportional to 645.15, 894.87 and 623.02 is: 864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.15 : 894.87 = 623.02 : x
  2. Step 2: Convert to fraction form
    645.15/894.87 = 623.02/x
  3. Step 3: Cross multiply
    645.15x = 894.87 × 623.02
  4. Step 4: Simplify right side
    645.15x = 557,523.04
  5. Step 5: Solve for x
    x = 557,523.04/645.15
  6. Step 6: Final answer
    x = 864.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.