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Finding the Fourth Proportional to 790.18, 1,185.54 and 296.65

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Solution

The fourth proportional to 790.18, 1,185.54 and 296.65 is: 445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.18 : 1,185.54 = 296.65 : x
  2. Step 2: Convert to fraction form
    790.18/1,185.54 = 296.65/x
  3. Step 3: Cross multiply
    790.18x = 1,185.54 × 296.65
  4. Step 4: Simplify right side
    790.18x = 351,690.81
  5. Step 5: Solve for x
    x = 351,690.81/790.18
  6. Step 6: Final answer
    x = 445.08

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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.