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Finding the Fourth Proportional to 624.36, 860.80 and 427.54

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Solution

The fourth proportional to 624.36, 860.80 and 427.54 is: 589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.36 : 860.80 = 427.54 : x
  2. Step 2: Convert to fraction form
    624.36/860.80 = 427.54/x
  3. Step 3: Cross multiply
    624.36x = 860.80 × 427.54
  4. Step 4: Simplify right side
    624.36x = 368,026.43
  5. Step 5: Solve for x
    x = 368,026.43/624.36
  6. Step 6: Final answer
    x = 589.45

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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.