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Finding the Fourth Proportional to 947.59, 1,421.48 and 323.32

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Solution

The fourth proportional to 947.59, 1,421.48 and 323.32 is: 485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.59 : 1,421.48 = 323.32 : x
  2. Step 2: Convert to fraction form
    947.59/1,421.48 = 323.32/x
  3. Step 3: Cross multiply
    947.59x = 1,421.48 × 323.32
  4. Step 4: Simplify right side
    947.59x = 459,595.74
  5. Step 5: Solve for x
    x = 459,595.74/947.59
  6. Step 6: Final answer
    x = 485.02

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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.