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Finding the Fourth Proportional to 1,077.35, 1,486.91 and 657.95

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Solution

The fourth proportional to 1,077.35, 1,486.91 and 657.95 is: 908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.35 : 1,486.91 = 657.95 : x
  2. Step 2: Convert to fraction form
    1,077.35/1,486.91 = 657.95/x
  3. Step 3: Cross multiply
    1,077.35x = 1,486.91 × 657.95
  4. Step 4: Simplify right side
    1,077.35x = 978,301.71
  5. Step 5: Solve for x
    x = 978,301.71/1,077.35
  6. Step 6: Final answer
    x = 908.07

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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.