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Finding the Fourth Proportional to 758.02, 1,137.04 and 271.42

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Solution

The fourth proportional to 758.02, 1,137.04 and 271.42 is: 407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.02 : 1,137.04 = 271.42 : x
  2. Step 2: Convert to fraction form
    758.02/1,137.04 = 271.42/x
  3. Step 3: Cross multiply
    758.02x = 1,137.04 × 271.42
  4. Step 4: Simplify right side
    758.02x = 308,615.40
  5. Step 5: Solve for x
    x = 308,615.40/758.02
  6. Step 6: Final answer
    x = 407.13

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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.