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Finding the Fourth Proportional to 860.22, 1,290.07 and 464.83

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Solution

The fourth proportional to 860.22, 1,290.07 and 464.83 is: 697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.22 : 1,290.07 = 464.83 : x
  2. Step 2: Convert to fraction form
    860.22/1,290.07 = 464.83/x
  3. Step 3: Cross multiply
    860.22x = 1,290.07 × 464.83
  4. Step 4: Simplify right side
    860.22x = 599,665.30
  5. Step 5: Solve for x
    x = 599,665.30/860.22
  6. Step 6: Final answer
    x = 697.11

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1.5x scale

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.