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Finding the Fourth Proportional to 1,438.51, 1,985.20 and 879.23

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Solution

The fourth proportional to 1,438.51, 1,985.20 and 879.23 is: 1,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.51 : 1,985.20 = 879.23 : x
  2. Step 2: Convert to fraction form
    1,438.51/1,985.20 = 879.23/x
  3. Step 3: Cross multiply
    1,438.51x = 1,985.20 × 879.23
  4. Step 4: Simplify right side
    1,438.51x = 1,745,447.40
  5. Step 5: Solve for x
    x = 1,745,447.40/1,438.51
  6. Step 6: Final answer
    x = 1,213.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.