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Finding the Fourth Proportional to 1,785.19, 2,678.55 and 690.33

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Solution

The fourth proportional to 1,785.19, 2,678.55 and 690.33 is: 1,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.19 : 2,678.55 = 690.33 : x
  2. Step 2: Convert to fraction form
    1,785.19/2,678.55 = 690.33/x
  3. Step 3: Cross multiply
    1,785.19x = 2,678.55 × 690.33
  4. Step 4: Simplify right side
    1,785.19x = 1,849,083.42
  5. Step 5: Solve for x
    x = 1,849,083.42/1,785.19
  6. Step 6: Final answer
    x = 1,035.79

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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.