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Finding the Fourth Proportional to 947.94, 1,420.05 and 484.35

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Solution

The fourth proportional to 947.94, 1,420.05 and 484.35 is: 725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.94 : 1,420.05 = 484.35 : x
  2. Step 2: Convert to fraction form
    947.94/1,420.05 = 484.35/x
  3. Step 3: Cross multiply
    947.94x = 1,420.05 × 484.35
  4. Step 4: Simplify right side
    947.94x = 687,801.22
  5. Step 5: Solve for x
    x = 687,801.22/947.94
  6. Step 6: Final answer
    x = 725.57

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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.