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Finding the Fourth Proportional to 1,042.42, 1,563.67 and 393.01

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Solution

The fourth proportional to 1,042.42, 1,563.67 and 393.01 is: 589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.42 : 1,563.67 = 393.01 : x
  2. Step 2: Convert to fraction form
    1,042.42/1,563.67 = 393.01/x
  3. Step 3: Cross multiply
    1,042.42x = 1,563.67 × 393.01
  4. Step 4: Simplify right side
    1,042.42x = 614,537.95
  5. Step 5: Solve for x
    x = 614,537.95/1,042.42
  6. Step 6: Final answer
    x = 589.53

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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.