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Finding the Fourth Proportional to 860.82, 1,290 and 470.49

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Solution

The fourth proportional to 860.82, 1,290 and 470.49 is: 705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.82 : 1,290 = 470.49 : x
  2. Step 2: Convert to fraction form
    860.82/1,290 = 470.49/x
  3. Step 3: Cross multiply
    860.82x = 1,290 × 470.49
  4. Step 4: Simplify right side
    860.82x = 606,932.10
  5. Step 5: Solve for x
    x = 606,932.10/860.82
  6. Step 6: Final answer
    x = 705.06

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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.