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Finding the Fourth Proportional to 1,046.63, 1,568.79 and 461.01

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Solution

The fourth proportional to 1,046.63, 1,568.79 and 461.01 is: 691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.63 : 1,568.79 = 461.01 : x
  2. Step 2: Convert to fraction form
    1,046.63/1,568.79 = 461.01/x
  3. Step 3: Cross multiply
    1,046.63x = 1,568.79 × 461.01
  4. Step 4: Simplify right side
    1,046.63x = 723,235.49
  5. Step 5: Solve for x
    x = 723,235.49/1,046.63
  6. Step 6: Final answer
    x = 691.01

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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.