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Finding the Fourth Proportional to 662.91, 916.44 and 656.68

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Solution

The fourth proportional to 662.91, 916.44 and 656.68 is: 907.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.91 : 916.44 = 656.68 : x
  2. Step 2: Convert to fraction form
    662.91/916.44 = 656.68/x
  3. Step 3: Cross multiply
    662.91x = 916.44 × 656.68
  4. Step 4: Simplify right side
    662.91x = 601,807.82
  5. Step 5: Solve for x
    x = 601,807.82/662.91
  6. Step 6: Final answer
    x = 907.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.