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Finding the Fourth Proportional to 950.02, 1,302.64 and 856.39

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Solution

The fourth proportional to 950.02, 1,302.64 and 856.39 is: 1,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.02 : 1,302.64 = 856.39 : x
  2. Step 2: Convert to fraction form
    950.02/1,302.64 = 856.39/x
  3. Step 3: Cross multiply
    950.02x = 1,302.64 × 856.39
  4. Step 4: Simplify right side
    950.02x = 1,115,567.87
  5. Step 5: Solve for x
    x = 1,115,567.87/950.02
  6. Step 6: Final answer
    x = 1,174.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.