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Finding the Fourth Proportional to 790.52, 1,186.50 and 379.94

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Solution

The fourth proportional to 790.52, 1,186.50 and 379.94 is: 570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.52 : 1,186.50 = 379.94 : x
  2. Step 2: Convert to fraction form
    790.52/1,186.50 = 379.94/x
  3. Step 3: Cross multiply
    790.52x = 1,186.50 × 379.94
  4. Step 4: Simplify right side
    790.52x = 450,798.81
  5. Step 5: Solve for x
    x = 450,798.81/790.52
  6. Step 6: Final answer
    x = 570.26

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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.