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Finding the Fourth Proportional to 790.56, 1,185.93 and 465.93

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Solution

The fourth proportional to 790.56, 1,185.93 and 465.93 is: 698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.56 : 1,185.93 = 465.93 : x
  2. Step 2: Convert to fraction form
    790.56/1,185.93 = 465.93/x
  3. Step 3: Cross multiply
    790.56x = 1,185.93 × 465.93
  4. Step 4: Simplify right side
    790.56x = 552,560.36
  5. Step 5: Solve for x
    x = 552,560.36/790.56
  6. Step 6: Final answer
    x = 698.95

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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.