Home / 1,051.50-1,577.27-320.98

Finding the Fourth Proportional to 1,051.50, 1,577.27 and 320.98

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Solution

The fourth proportional to 1,051.50, 1,577.27 and 320.98 is: 481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.50 : 1,577.27 = 320.98 : x
  2. Step 2: Convert to fraction form
    1,051.50/1,577.27 = 320.98/x
  3. Step 3: Cross multiply
    1,051.50x = 1,577.27 × 320.98
  4. Step 4: Simplify right side
    1,051.50x = 506,272.12
  5. Step 5: Solve for x
    x = 506,272.12/1,051.50
  6. Step 6: Final answer
    x = 481.48

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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.