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Finding the Fourth Proportional to 947.16, 1,420.58 and 263

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Solution

The fourth proportional to 947.16, 1,420.58 and 263 is: 394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.16 : 1,420.58 = 263 : x
  2. Step 2: Convert to fraction form
    947.16/1,420.58 = 263/x
  3. Step 3: Cross multiply
    947.16x = 1,420.58 × 263
  4. Step 4: Simplify right side
    947.16x = 373,612.54
  5. Step 5: Solve for x
    x = 373,612.54/947.16
  6. Step 6: Final answer
    x = 394.46

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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.