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Finding the Fourth Proportional to 735.74, 1,012.74 and 642.32

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Solution

The fourth proportional to 735.74, 1,012.74 and 642.32 is: 884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.74 : 1,012.74 = 642.32 : x
  2. Step 2: Convert to fraction form
    735.74/1,012.74 = 642.32/x
  3. Step 3: Cross multiply
    735.74x = 1,012.74 × 642.32
  4. Step 4: Simplify right side
    735.74x = 650,503.16
  5. Step 5: Solve for x
    x = 650,503.16/735.74
  6. Step 6: Final answer
    x = 884.15

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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.