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Finding the Fourth Proportional to 947.18, 1,420.78 and 483.65

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Solution

The fourth proportional to 947.18, 1,420.78 and 483.65 is: 725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.18 : 1,420.78 = 483.65 : x
  2. Step 2: Convert to fraction form
    947.18/1,420.78 = 483.65/x
  3. Step 3: Cross multiply
    947.18x = 1,420.78 × 483.65
  4. Step 4: Simplify right side
    947.18x = 687,150.72
  5. Step 5: Solve for x
    x = 687,150.72/947.18
  6. Step 6: Final answer
    x = 725.47

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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.