Home / 1,340.23-2,010.10-415.65

Finding the Fourth Proportional to 1,340.23, 2,010.10 and 415.65

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Solution

The fourth proportional to 1,340.23, 2,010.10 and 415.65 is: 623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.23 : 2,010.10 = 415.65 : x
  2. Step 2: Convert to fraction form
    1,340.23/2,010.10 = 415.65/x
  3. Step 3: Cross multiply
    1,340.23x = 2,010.10 × 415.65
  4. Step 4: Simplify right side
    1,340.23x = 835,498.07
  5. Step 5: Solve for x
    x = 835,498.07/1,340.23
  6. Step 6: Final answer
    x = 623.40

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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.