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Finding the Fourth Proportional to 1,078.82, 1,488.84 and 606.75

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Solution

The fourth proportional to 1,078.82, 1,488.84 and 606.75 is: 837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.82 : 1,488.84 = 606.75 : x
  2. Step 2: Convert to fraction form
    1,078.82/1,488.84 = 606.75/x
  3. Step 3: Cross multiply
    1,078.82x = 1,488.84 × 606.75
  4. Step 4: Simplify right side
    1,078.82x = 903,353.67
  5. Step 5: Solve for x
    x = 903,353.67/1,078.82
  6. Step 6: Final answer
    x = 837.36

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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.