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Finding the Fourth Proportional to 942.44, 1,300.62 and 647.84

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Solution

The fourth proportional to 942.44, 1,300.62 and 647.84 is: 894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.44 : 1,300.62 = 647.84 : x
  2. Step 2: Convert to fraction form
    942.44/1,300.62 = 647.84/x
  3. Step 3: Cross multiply
    942.44x = 1,300.62 × 647.84
  4. Step 4: Simplify right side
    942.44x = 842,593.66
  5. Step 5: Solve for x
    x = 842,593.66/942.44
  6. Step 6: Final answer
    x = 894.06

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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.