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Finding the Fourth Proportional to 883.45, 1,216.69 and 864.32

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Solution

The fourth proportional to 883.45, 1,216.69 and 864.32 is: 1,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.45 : 1,216.69 = 864.32 : x
  2. Step 2: Convert to fraction form
    883.45/1,216.69 = 864.32/x
  3. Step 3: Cross multiply
    883.45x = 1,216.69 × 864.32
  4. Step 4: Simplify right side
    883.45x = 1,051,609.50
  5. Step 5: Solve for x
    x = 1,051,609.50/883.45
  6. Step 6: Final answer
    x = 1,190.34

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1.5x scale

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.