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Finding the Fourth Proportional to 455.50, 678.42 and 432.37

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Solution

The fourth proportional to 455.50, 678.42 and 432.37 is: 643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.50 : 678.42 = 432.37 : x
  2. Step 2: Convert to fraction form
    455.50/678.42 = 432.37/x
  3. Step 3: Cross multiply
    455.50x = 678.42 × 432.37
  4. Step 4: Simplify right side
    455.50x = 293,328.46
  5. Step 5: Solve for x
    x = 293,328.46/455.50
  6. Step 6: Final answer
    x = 643.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.