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Finding the Fourth Proportional to 659.63, 990.22 and 463.83

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Solution

The fourth proportional to 659.63, 990.22 and 463.83 is: 696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.63 : 990.22 = 463.83 : x
  2. Step 2: Convert to fraction form
    659.63/990.22 = 463.83/x
  3. Step 3: Cross multiply
    659.63x = 990.22 × 463.83
  4. Step 4: Simplify right side
    659.63x = 459,293.74
  5. Step 5: Solve for x
    x = 459,293.74/659.63
  6. Step 6: Final answer
    x = 696.29

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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.