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Finding the Fourth Proportional to 947.94, 1,421.72 and 289.70

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Solution

The fourth proportional to 947.94, 1,421.72 and 289.70 is: 434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.94 : 1,421.72 = 289.70 : x
  2. Step 2: Convert to fraction form
    947.94/1,421.72 = 289.70/x
  3. Step 3: Cross multiply
    947.94x = 1,421.72 × 289.70
  4. Step 4: Simplify right side
    947.94x = 411,872.28
  5. Step 5: Solve for x
    x = 411,872.28/947.94
  6. Step 6: Final answer
    x = 434.49

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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.