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Finding the Fourth Proportional to 1,065.63, 1,597.93 and 398.06

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Solution

The fourth proportional to 1,065.63, 1,597.93 and 398.06 is: 596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.63 : 1,597.93 = 398.06 : x
  2. Step 2: Convert to fraction form
    1,065.63/1,597.93 = 398.06/x
  3. Step 3: Cross multiply
    1,065.63x = 1,597.93 × 398.06
  4. Step 4: Simplify right side
    1,065.63x = 636,072.02
  5. Step 5: Solve for x
    x = 636,072.02/1,065.63
  6. Step 6: Final answer
    x = 596.90

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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.