Home / 1,051.42-1,577.28-320.90

Finding the Fourth Proportional to 1,051.42, 1,577.28 and 320.90

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Solution

The fourth proportional to 1,051.42, 1,577.28 and 320.90 is: 481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.42 : 1,577.28 = 320.90 : x
  2. Step 2: Convert to fraction form
    1,051.42/1,577.28 = 320.90/x
  3. Step 3: Cross multiply
    1,051.42x = 1,577.28 × 320.90
  4. Step 4: Simplify right side
    1,051.42x = 506,141.63
  5. Step 5: Solve for x
    x = 506,141.63/1,051.42
  6. Step 6: Final answer
    x = 481.39

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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.