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Finding the Fourth Proportional to 665.89, 916.82 and 566.10

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Solution

The fourth proportional to 665.89, 916.82 and 566.10 is: 779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.89 : 916.82 = 566.10 : x
  2. Step 2: Convert to fraction form
    665.89/916.82 = 566.10/x
  3. Step 3: Cross multiply
    665.89x = 916.82 × 566.10
  4. Step 4: Simplify right side
    665.89x = 519,011.09
  5. Step 5: Solve for x
    x = 519,011.09/665.89
  6. Step 6: Final answer
    x = 779.43

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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.