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Finding the Fourth Proportional to 859.88, 1,291.58 and 665.28

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Solution

The fourth proportional to 859.88, 1,291.58 and 665.28 is: 999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.88 : 1,291.58 = 665.28 : x
  2. Step 2: Convert to fraction form
    859.88/1,291.58 = 665.28/x
  3. Step 3: Cross multiply
    859.88x = 1,291.58 × 665.28
  4. Step 4: Simplify right side
    859.88x = 859,262.34
  5. Step 5: Solve for x
    x = 859,262.34/859.88
  6. Step 6: Final answer
    x = 999.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.