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Finding the Fourth Proportional to 919.53, 1,372.48 and 846.32

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Solution

The fourth proportional to 919.53, 1,372.48 and 846.32 is: 1,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.53 : 1,372.48 = 846.32 : x
  2. Step 2: Convert to fraction form
    919.53/1,372.48 = 846.32/x
  3. Step 3: Cross multiply
    919.53x = 1,372.48 × 846.32
  4. Step 4: Simplify right side
    919.53x = 1,161,548.30
  5. Step 5: Solve for x
    x = 1,161,548.30/919.53
  6. Step 6: Final answer
    x = 1,263.20

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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.