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Finding the Fourth Proportional to 860.32, 1,290.60 and 398.01

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Solution

The fourth proportional to 860.32, 1,290.60 and 398.01 is: 597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.32 : 1,290.60 = 398.01 : x
  2. Step 2: Convert to fraction form
    860.32/1,290.60 = 398.01/x
  3. Step 3: Cross multiply
    860.32x = 1,290.60 × 398.01
  4. Step 4: Simplify right side
    860.32x = 513,676.55
  5. Step 5: Solve for x
    x = 513,676.55/860.32
  6. Step 6: Final answer
    x = 597.08

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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.