Home / 1,290.16-1,935.52-412.93

Finding the Fourth Proportional to 1,290.16, 1,935.52 and 412.93

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Solution

The fourth proportional to 1,290.16, 1,935.52 and 412.93 is: 619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.16 : 1,935.52 = 412.93 : x
  2. Step 2: Convert to fraction form
    1,290.16/1,935.52 = 412.93/x
  3. Step 3: Cross multiply
    1,290.16x = 1,935.52 × 412.93
  4. Step 4: Simplify right side
    1,290.16x = 799,234.27
  5. Step 5: Solve for x
    x = 799,234.27/1,290.16
  6. Step 6: Final answer
    x = 619.48

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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.