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Finding the Fourth Proportional to 790.40, 1,184.96 and 406.40

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Solution

The fourth proportional to 790.40, 1,184.96 and 406.40 is: 609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.40 : 1,184.96 = 406.40 : x
  2. Step 2: Convert to fraction form
    790.40/1,184.96 = 406.40/x
  3. Step 3: Cross multiply
    790.40x = 1,184.96 × 406.40
  4. Step 4: Simplify right side
    790.40x = 481,567.74
  5. Step 5: Solve for x
    x = 481,567.74/790.40
  6. Step 6: Final answer
    x = 609.27

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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.