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Finding the Fourth Proportional to 847.64, 1,271.64 and 262.64

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Solution

The fourth proportional to 847.64, 1,271.64 and 262.64 is: 394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.64 : 1,271.64 = 262.64 : x
  2. Step 2: Convert to fraction form
    847.64/1,271.64 = 262.64/x
  3. Step 3: Cross multiply
    847.64x = 1,271.64 × 262.64
  4. Step 4: Simplify right side
    847.64x = 333,983.53
  5. Step 5: Solve for x
    x = 333,983.53/847.64
  6. Step 6: Final answer
    x = 394.02

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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.