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Finding the Fourth Proportional to 635.40, 947.88 and 580.32

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Solution

The fourth proportional to 635.40, 947.88 and 580.32 is: 865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.40 : 947.88 = 580.32 : x
  2. Step 2: Convert to fraction form
    635.40/947.88 = 580.32/x
  3. Step 3: Cross multiply
    635.40x = 947.88 × 580.32
  4. Step 4: Simplify right side
    635.40x = 550,073.72
  5. Step 5: Solve for x
    x = 550,073.72/635.40
  6. Step 6: Final answer
    x = 865.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.