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Finding the Fourth Proportional to 774.61, 1,162.60 and 409.65

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Solution

The fourth proportional to 774.61, 1,162.60 and 409.65 is: 614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.61 : 1,162.60 = 409.65 : x
  2. Step 2: Convert to fraction form
    774.61/1,162.60 = 409.65/x
  3. Step 3: Cross multiply
    774.61x = 1,162.60 × 409.65
  4. Step 4: Simplify right side
    774.61x = 476,259.09
  5. Step 5: Solve for x
    x = 476,259.09/774.61
  6. Step 6: Final answer
    x = 614.84

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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.