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Finding the Fourth Proportional to 1,785.70, 2,678.94 and 631.45

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Solution

The fourth proportional to 1,785.70, 2,678.94 and 631.45 is: 947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.70 : 2,678.94 = 631.45 : x
  2. Step 2: Convert to fraction form
    1,785.70/2,678.94 = 631.45/x
  3. Step 3: Cross multiply
    1,785.70x = 2,678.94 × 631.45
  4. Step 4: Simplify right side
    1,785.70x = 1,691,603.27
  5. Step 5: Solve for x
    x = 1,691,603.27/1,785.70
  6. Step 6: Final answer
    x = 947.31

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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.