Home / 1,319.10-1,977.38-497.04

Finding the Fourth Proportional to 1,319.10, 1,977.38 and 497.04

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Solution

The fourth proportional to 1,319.10, 1,977.38 and 497.04 is: 745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.10 : 1,977.38 = 497.04 : x
  2. Step 2: Convert to fraction form
    1,319.10/1,977.38 = 497.04/x
  3. Step 3: Cross multiply
    1,319.10x = 1,977.38 × 497.04
  4. Step 4: Simplify right side
    1,319.10x = 982,836.96
  5. Step 5: Solve for x
    x = 982,836.96/1,319.10
  6. Step 6: Final answer
    x = 745.08

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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.