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Finding the Fourth Proportional to 455.45, 687.13 and 432.68

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Solution

The fourth proportional to 455.45, 687.13 and 432.68 is: 652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.45 : 687.13 = 432.68 : x
  2. Step 2: Convert to fraction form
    455.45/687.13 = 432.68/x
  3. Step 3: Cross multiply
    455.45x = 687.13 × 432.68
  4. Step 4: Simplify right side
    455.45x = 297,302.89
  5. Step 5: Solve for x
    x = 297,302.89/455.45
  6. Step 6: Final answer
    x = 652.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.