Home / 1,297.19-1,944.87-647.47

Finding the Fourth Proportional to 1,297.19, 1,944.87 and 647.47

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Solution

The fourth proportional to 1,297.19, 1,944.87 and 647.47 is: 970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.19 : 1,944.87 = 647.47 : x
  2. Step 2: Convert to fraction form
    1,297.19/1,944.87 = 647.47/x
  3. Step 3: Cross multiply
    1,297.19x = 1,944.87 × 647.47
  4. Step 4: Simplify right side
    1,297.19x = 1,259,235.25
  5. Step 5: Solve for x
    x = 1,259,235.25/1,297.19
  6. Step 6: Final answer
    x = 970.74

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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.