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Finding the Fourth Proportional to 942.17, 1,403.73 and 895.66

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Solution

The fourth proportional to 942.17, 1,403.73 and 895.66 is: 1,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.17 : 1,403.73 = 895.66 : x
  2. Step 2: Convert to fraction form
    942.17/1,403.73 = 895.66/x
  3. Step 3: Cross multiply
    942.17x = 1,403.73 × 895.66
  4. Step 4: Simplify right side
    942.17x = 1,257,261.30
  5. Step 5: Solve for x
    x = 1,257,261.30/942.17
  6. Step 6: Final answer
    x = 1,334.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.