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Finding the Fourth Proportional to 947.15, 1,420.71 and 289.02

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Solution

The fourth proportional to 947.15, 1,420.71 and 289.02 is: 433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.15 : 1,420.71 = 289.02 : x
  2. Step 2: Convert to fraction form
    947.15/1,420.71 = 289.02/x
  3. Step 3: Cross multiply
    947.15x = 1,420.71 × 289.02
  4. Step 4: Simplify right side
    947.15x = 410,615.71
  5. Step 5: Solve for x
    x = 410,615.71/947.15
  6. Step 6: Final answer
    x = 433.53

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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.