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Finding the Fourth Proportional to 790.66, 1,184.55 and 734.50

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Solution

The fourth proportional to 790.66, 1,184.55 and 734.50 is: 1,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.66 : 1,184.55 = 734.50 : x
  2. Step 2: Convert to fraction form
    790.66/1,184.55 = 734.50/x
  3. Step 3: Cross multiply
    790.66x = 1,184.55 × 734.50
  4. Step 4: Simplify right side
    790.66x = 870,051.98
  5. Step 5: Solve for x
    x = 870,051.98/790.66
  6. Step 6: Final answer
    x = 1,100.41

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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.