Home / 1,051.24-1,577.40-402.40

Finding the Fourth Proportional to 1,051.24, 1,577.40 and 402.40

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Solution

The fourth proportional to 1,051.24, 1,577.40 and 402.40 is: 603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.24 : 1,577.40 = 402.40 : x
  2. Step 2: Convert to fraction form
    1,051.24/1,577.40 = 402.40/x
  3. Step 3: Cross multiply
    1,051.24x = 1,577.40 × 402.40
  4. Step 4: Simplify right side
    1,051.24x = 634,745.76
  5. Step 5: Solve for x
    x = 634,745.76/1,051.24
  6. Step 6: Final answer
    x = 603.81

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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.