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Finding the Fourth Proportional to 940.04, 1,408.68 and 452.52

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Solution

The fourth proportional to 940.04, 1,408.68 and 452.52 is: 678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.04 : 1,408.68 = 452.52 : x
  2. Step 2: Convert to fraction form
    940.04/1,408.68 = 452.52/x
  3. Step 3: Cross multiply
    940.04x = 1,408.68 × 452.52
  4. Step 4: Simplify right side
    940.04x = 637,455.87
  5. Step 5: Solve for x
    x = 637,455.87/940.04
  6. Step 6: Final answer
    x = 678.12

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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.