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Finding the Fourth Proportional to 860.66, 1,290.36 and 552.86

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Solution

The fourth proportional to 860.66, 1,290.36 and 552.86 is: 828.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.66 : 1,290.36 = 552.86 : x
  2. Step 2: Convert to fraction form
    860.66/1,290.36 = 552.86/x
  3. Step 3: Cross multiply
    860.66x = 1,290.36 × 552.86
  4. Step 4: Simplify right side
    860.66x = 713,388.43
  5. Step 5: Solve for x
    x = 713,388.43/860.66
  6. Step 6: Final answer
    x = 828.89

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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.