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Finding the Fourth Proportional to 860.21, 1,290.74 and 397.46

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Solution

The fourth proportional to 860.21, 1,290.74 and 397.46 is: 596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.21 : 1,290.74 = 397.46 : x
  2. Step 2: Convert to fraction form
    860.21/1,290.74 = 397.46/x
  3. Step 3: Cross multiply
    860.21x = 1,290.74 × 397.46
  4. Step 4: Simplify right side
    860.21x = 513,021.74
  5. Step 5: Solve for x
    x = 513,021.74/860.21
  6. Step 6: Final answer
    x = 596.39

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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.