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Finding the Fourth Proportional to 947.94, 1,421.01 and 400.50

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Solution

The fourth proportional to 947.94, 1,421.01 and 400.50 is: 600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.94 : 1,421.01 = 400.50 : x
  2. Step 2: Convert to fraction form
    947.94/1,421.01 = 400.50/x
  3. Step 3: Cross multiply
    947.94x = 1,421.01 × 400.50
  4. Step 4: Simplify right side
    947.94x = 569,114.51
  5. Step 5: Solve for x
    x = 569,114.51/947.94
  6. Step 6: Final answer
    x = 600.37

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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.