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Finding the Fourth Proportional to 790.04, 1,185.40 and 405.56

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Solution

The fourth proportional to 790.04, 1,185.40 and 405.56 is: 608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.04 : 1,185.40 = 405.56 : x
  2. Step 2: Convert to fraction form
    790.04/1,185.40 = 405.56/x
  3. Step 3: Cross multiply
    790.04x = 1,185.40 × 405.56
  4. Step 4: Simplify right side
    790.04x = 480,750.82
  5. Step 5: Solve for x
    x = 480,750.82/790.04
  6. Step 6: Final answer
    x = 608.51

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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.