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Finding the Fourth Proportional to 1,006.34, 1,388.62 and 586.78

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Solution

The fourth proportional to 1,006.34, 1,388.62 and 586.78 is: 809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.34 : 1,388.62 = 586.78 : x
  2. Step 2: Convert to fraction form
    1,006.34/1,388.62 = 586.78/x
  3. Step 3: Cross multiply
    1,006.34x = 1,388.62 × 586.78
  4. Step 4: Simplify right side
    1,006.34x = 814,814.44
  5. Step 5: Solve for x
    x = 814,814.44/1,006.34
  6. Step 6: Final answer
    x = 809.68

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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.