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Finding the Fourth Proportional to 461.45, 692.51 and 288.37

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Solution

The fourth proportional to 461.45, 692.51 and 288.37 is: 432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.45 : 692.51 = 288.37 : x
  2. Step 2: Convert to fraction form
    461.45/692.51 = 288.37/x
  3. Step 3: Cross multiply
    461.45x = 692.51 × 288.37
  4. Step 4: Simplify right side
    461.45x = 199,699.11
  5. Step 5: Solve for x
    x = 199,699.11/461.45
  6. Step 6: Final answer
    x = 432.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.