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Finding the Fourth Proportional to 790.19, 1,090.41 and 436.12

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Solution

The fourth proportional to 790.19, 1,090.41 and 436.12 is: 601.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.19 : 1,090.41 = 436.12 : x
  2. Step 2: Convert to fraction form
    790.19/1,090.41 = 436.12/x
  3. Step 3: Cross multiply
    790.19x = 1,090.41 × 436.12
  4. Step 4: Simplify right side
    790.19x = 475,549.61
  5. Step 5: Solve for x
    x = 475,549.61/790.19
  6. Step 6: Final answer
    x = 601.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.