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Finding the Fourth Proportional to 803.22, 1,203.18 and 555.81

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Solution

The fourth proportional to 803.22, 1,203.18 and 555.81 is: 832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.22 : 1,203.18 = 555.81 : x
  2. Step 2: Convert to fraction form
    803.22/1,203.18 = 555.81/x
  3. Step 3: Cross multiply
    803.22x = 1,203.18 × 555.81
  4. Step 4: Simplify right side
    803.22x = 668,739.48
  5. Step 5: Solve for x
    x = 668,739.48/803.22
  6. Step 6: Final answer
    x = 832.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.