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Finding the Fourth Proportional to 804.96, 1,112.40 and 649.44

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Solution

The fourth proportional to 804.96, 1,112.40 and 649.44 is: 897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.96 : 1,112.40 = 649.44 : x
  2. Step 2: Convert to fraction form
    804.96/1,112.40 = 649.44/x
  3. Step 3: Cross multiply
    804.96x = 1,112.40 × 649.44
  4. Step 4: Simplify right side
    804.96x = 722,437.06
  5. Step 5: Solve for x
    x = 722,437.06/804.96
  6. Step 6: Final answer
    x = 897.48

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Double scale
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1.5x scale

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.