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Finding the Fourth Proportional to 623.85, 860.93 and 344.10

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Solution

The fourth proportional to 623.85, 860.93 and 344.10 is: 474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.85 : 860.93 = 344.10 : x
  2. Step 2: Convert to fraction form
    623.85/860.93 = 344.10/x
  3. Step 3: Cross multiply
    623.85x = 860.93 × 344.10
  4. Step 4: Simplify right side
    623.85x = 296,246.01
  5. Step 5: Solve for x
    x = 296,246.01/623.85
  6. Step 6: Final answer
    x = 474.87

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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.