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Finding the Fourth Proportional to 464.13, 692.82 and 443.07

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Solution

The fourth proportional to 464.13, 692.82 and 443.07 is: 661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.13 : 692.82 = 443.07 : x
  2. Step 2: Convert to fraction form
    464.13/692.82 = 443.07/x
  3. Step 3: Cross multiply
    464.13x = 692.82 × 443.07
  4. Step 4: Simplify right side
    464.13x = 306,967.76
  5. Step 5: Solve for x
    x = 306,967.76/464.13
  6. Step 6: Final answer
    x = 661.38

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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.