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Finding the Fourth Proportional to 790.16, 1,184.92 and 321.50

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Solution

The fourth proportional to 790.16, 1,184.92 and 321.50 is: 482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.16 : 1,184.92 = 321.50 : x
  2. Step 2: Convert to fraction form
    790.16/1,184.92 = 321.50/x
  3. Step 3: Cross multiply
    790.16x = 1,184.92 × 321.50
  4. Step 4: Simplify right side
    790.16x = 380,951.78
  5. Step 5: Solve for x
    x = 380,951.78/790.16
  6. Step 6: Final answer
    x = 482.12

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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.