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Finding the Fourth Proportional to 735.24, 1,106.87 and 670.64

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Solution

The fourth proportional to 735.24, 1,106.87 and 670.64 is: 1,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.24 : 1,106.87 = 670.64 : x
  2. Step 2: Convert to fraction form
    735.24/1,106.87 = 670.64/x
  3. Step 3: Cross multiply
    735.24x = 1,106.87 × 670.64
  4. Step 4: Simplify right side
    735.24x = 742,311.30
  5. Step 5: Solve for x
    x = 742,311.30/735.24
  6. Step 6: Final answer
    x = 1,009.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.