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Finding the Fourth Proportional to 1,078.57, 1,488.40 and 606.49

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Solution

The fourth proportional to 1,078.57, 1,488.40 and 606.49 is: 836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.57 : 1,488.40 = 606.49 : x
  2. Step 2: Convert to fraction form
    1,078.57/1,488.40 = 606.49/x
  3. Step 3: Cross multiply
    1,078.57x = 1,488.40 × 606.49
  4. Step 4: Simplify right side
    1,078.57x = 902,697.44
  5. Step 5: Solve for x
    x = 902,697.44/1,078.57
  6. Step 6: Final answer
    x = 836.94

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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.