Home / 1,297.08-1,944.36-430.92

Finding the Fourth Proportional to 1,297.08, 1,944.36 and 430.92

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Solution

The fourth proportional to 1,297.08, 1,944.36 and 430.92 is: 645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.08 : 1,944.36 = 430.92 : x
  2. Step 2: Convert to fraction form
    1,297.08/1,944.36 = 430.92/x
  3. Step 3: Cross multiply
    1,297.08x = 1,944.36 × 430.92
  4. Step 4: Simplify right side
    1,297.08x = 837,863.61
  5. Step 5: Solve for x
    x = 837,863.61/1,297.08
  6. Step 6: Final answer
    x = 645.96

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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.