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Finding the Fourth Proportional to 947.68, 1,420.44 and 485.84

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Solution

The fourth proportional to 947.68, 1,420.44 and 485.84 is: 728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.68 : 1,420.44 = 485.84 : x
  2. Step 2: Convert to fraction form
    947.68/1,420.44 = 485.84/x
  3. Step 3: Cross multiply
    947.68x = 1,420.44 × 485.84
  4. Step 4: Simplify right side
    947.68x = 690,106.57
  5. Step 5: Solve for x
    x = 690,106.57/947.68
  6. Step 6: Final answer
    x = 728.21

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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.