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Finding the Fourth Proportional to 781.06, 1,077.89 and 466.37

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Solution

The fourth proportional to 781.06, 1,077.89 and 466.37 is: 643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.06 : 1,077.89 = 466.37 : x
  2. Step 2: Convert to fraction form
    781.06/1,077.89 = 466.37/x
  3. Step 3: Cross multiply
    781.06x = 1,077.89 × 466.37
  4. Step 4: Simplify right side
    781.06x = 502,697.99
  5. Step 5: Solve for x
    x = 502,697.99/781.06
  6. Step 6: Final answer
    x = 643.61

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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.