Home / 1,295.12-1,942.80-417.40

Finding the Fourth Proportional to 1,295.12, 1,942.80 and 417.40

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Solution

The fourth proportional to 1,295.12, 1,942.80 and 417.40 is: 626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.12 : 1,942.80 = 417.40 : x
  2. Step 2: Convert to fraction form
    1,295.12/1,942.80 = 417.40/x
  3. Step 3: Cross multiply
    1,295.12x = 1,942.80 × 417.40
  4. Step 4: Simplify right side
    1,295.12x = 810,924.72
  5. Step 5: Solve for x
    x = 810,924.72/1,295.12
  6. Step 6: Final answer
    x = 626.14

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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.