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Finding the Fourth Proportional to 668.06, 917.02 and 592.73

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Solution

The fourth proportional to 668.06, 917.02 and 592.73 is: 813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.06 : 917.02 = 592.73 : x
  2. Step 2: Convert to fraction form
    668.06/917.02 = 592.73/x
  3. Step 3: Cross multiply
    668.06x = 917.02 × 592.73
  4. Step 4: Simplify right side
    668.06x = 543,545.26
  5. Step 5: Solve for x
    x = 543,545.26/668.06
  6. Step 6: Final answer
    x = 813.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.