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Finding the Fourth Proportional to 623.72, 861 and 437.24

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Solution

The fourth proportional to 623.72, 861 and 437.24 is: 603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.72 : 861 = 437.24 : x
  2. Step 2: Convert to fraction form
    623.72/861 = 437.24/x
  3. Step 3: Cross multiply
    623.72x = 861 × 437.24
  4. Step 4: Simplify right side
    623.72x = 376,463.64
  5. Step 5: Solve for x
    x = 376,463.64/623.72
  6. Step 6: Final answer
    x = 603.58

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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.