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Finding the Fourth Proportional to 1,678.90, 2,317.17 and 1,255.65

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Solution

The fourth proportional to 1,678.90, 2,317.17 and 1,255.65 is: 1,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.90 : 2,317.17 = 1,255.65 : x
  2. Step 2: Convert to fraction form
    1,678.90/2,317.17 = 1,255.65/x
  3. Step 3: Cross multiply
    1,678.90x = 2,317.17 × 1,255.65
  4. Step 4: Simplify right side
    1,678.90x = 2,909,554.51
  5. Step 5: Solve for x
    x = 2,909,554.51/1,678.90
  6. Step 6: Final answer
    x = 1,733.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.