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Finding the Fourth Proportional to 1,785.40, 2,678.87 and 690.54

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Solution

The fourth proportional to 1,785.40, 2,678.87 and 690.54 is: 1,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.40 : 2,678.87 = 690.54 : x
  2. Step 2: Convert to fraction form
    1,785.40/2,678.87 = 690.54/x
  3. Step 3: Cross multiply
    1,785.40x = 2,678.87 × 690.54
  4. Step 4: Simplify right side
    1,785.40x = 1,849,866.89
  5. Step 5: Solve for x
    x = 1,849,866.89/1,785.40
  6. Step 6: Final answer
    x = 1,036.11

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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.