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Finding the Fourth Proportional to 665.07, 916.83 and 416.28

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Solution

The fourth proportional to 665.07, 916.83 and 416.28 is: 573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.07 : 916.83 = 416.28 : x
  2. Step 2: Convert to fraction form
    665.07/916.83 = 416.28/x
  3. Step 3: Cross multiply
    665.07x = 916.83 × 416.28
  4. Step 4: Simplify right side
    665.07x = 381,657.99
  5. Step 5: Solve for x
    x = 381,657.99/665.07
  6. Step 6: Final answer
    x = 573.86

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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.