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Finding the Fourth Proportional to 960.19, 1,446.32 and 874.07

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Solution

The fourth proportional to 960.19, 1,446.32 and 874.07 is: 1,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.19 : 1,446.32 = 874.07 : x
  2. Step 2: Convert to fraction form
    960.19/1,446.32 = 874.07/x
  3. Step 3: Cross multiply
    960.19x = 1,446.32 × 874.07
  4. Step 4: Simplify right side
    960.19x = 1,264,184.92
  5. Step 5: Solve for x
    x = 1,264,184.92/960.19
  6. Step 6: Final answer
    x = 1,316.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.