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Finding the Fourth Proportional to 623.02, 860.84 and 512.41

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Solution

The fourth proportional to 623.02, 860.84 and 512.41 is: 708.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.02 : 860.84 = 512.41 : x
  2. Step 2: Convert to fraction form
    623.02/860.84 = 512.41/x
  3. Step 3: Cross multiply
    623.02x = 860.84 × 512.41
  4. Step 4: Simplify right side
    623.02x = 441,103.02
  5. Step 5: Solve for x
    x = 441,103.02/623.02
  6. Step 6: Final answer
    x = 708.01

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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.