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Finding the Fourth Proportional to 774.93, 1,162.55 and 287.96

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Solution

The fourth proportional to 774.93, 1,162.55 and 287.96 is: 431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.93 : 1,162.55 = 287.96 : x
  2. Step 2: Convert to fraction form
    774.93/1,162.55 = 287.96/x
  3. Step 3: Cross multiply
    774.93x = 1,162.55 × 287.96
  4. Step 4: Simplify right side
    774.93x = 334,762.81
  5. Step 5: Solve for x
    x = 334,762.81/774.93
  6. Step 6: Final answer
    x = 431.99

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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.