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Finding the Fourth Proportional to 664.68, 917.34 and 402.85

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Solution

The fourth proportional to 664.68, 917.34 and 402.85 is: 555.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.68 : 917.34 = 402.85 : x
  2. Step 2: Convert to fraction form
    664.68/917.34 = 402.85/x
  3. Step 3: Cross multiply
    664.68x = 917.34 × 402.85
  4. Step 4: Simplify right side
    664.68x = 369,545.83
  5. Step 5: Solve for x
    x = 369,545.83/664.68
  6. Step 6: Final answer
    x = 555.98

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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.