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Finding the Fourth Proportional to 919.08, 1,385.10 and 864.36

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Solution

The fourth proportional to 919.08, 1,385.10 and 864.36 is: 1,302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.08 : 1,385.10 = 864.36 : x
  2. Step 2: Convert to fraction form
    919.08/1,385.10 = 864.36/x
  3. Step 3: Cross multiply
    919.08x = 1,385.10 × 864.36
  4. Step 4: Simplify right side
    919.08x = 1,197,225.04
  5. Step 5: Solve for x
    x = 1,197,225.04/919.08
  6. Step 6: Final answer
    x = 1,302.63

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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.