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Finding the Fourth Proportional to 947.79, 1,420.62 and 427.01

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Solution

The fourth proportional to 947.79, 1,420.62 and 427.01 is: 640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.79 : 1,420.62 = 427.01 : x
  2. Step 2: Convert to fraction form
    947.79/1,420.62 = 427.01/x
  3. Step 3: Cross multiply
    947.79x = 1,420.62 × 427.01
  4. Step 4: Simplify right side
    947.79x = 606,618.95
  5. Step 5: Solve for x
    x = 606,618.95/947.79
  6. Step 6: Final answer
    x = 640.04

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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.