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Finding the Fourth Proportional to 461.02, 687.69 and 433.06

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Solution

The fourth proportional to 461.02, 687.69 and 433.06 is: 645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.02 : 687.69 = 433.06 : x
  2. Step 2: Convert to fraction form
    461.02/687.69 = 433.06/x
  3. Step 3: Cross multiply
    461.02x = 687.69 × 433.06
  4. Step 4: Simplify right side
    461.02x = 297,811.03
  5. Step 5: Solve for x
    x = 297,811.03/461.02
  6. Step 6: Final answer
    x = 645.98

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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.