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Finding the Fourth Proportional to 942.15, 1,301.48 and 803.77

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Solution

The fourth proportional to 942.15, 1,301.48 and 803.77 is: 1,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.15 : 1,301.48 = 803.77 : x
  2. Step 2: Convert to fraction form
    942.15/1,301.48 = 803.77/x
  3. Step 3: Cross multiply
    942.15x = 1,301.48 × 803.77
  4. Step 4: Simplify right side
    942.15x = 1,046,090.58
  5. Step 5: Solve for x
    x = 1,046,090.58/942.15
  6. Step 6: Final answer
    x = 1,110.32

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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.