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Finding the Fourth Proportional to 899.78, 1,346.70 and 635.72

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Solution

The fourth proportional to 899.78, 1,346.70 and 635.72 is: 951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.78 : 1,346.70 = 635.72 : x
  2. Step 2: Convert to fraction form
    899.78/1,346.70 = 635.72/x
  3. Step 3: Cross multiply
    899.78x = 1,346.70 × 635.72
  4. Step 4: Simplify right side
    899.78x = 856,124.12
  5. Step 5: Solve for x
    x = 856,124.12/899.78
  6. Step 6: Final answer
    x = 951.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.