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Finding the Fourth Proportional to 883.02, 1,322.67 and 556.80

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Solution

The fourth proportional to 883.02, 1,322.67 and 556.80 is: 834.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.02 : 1,322.67 = 556.80 : x
  2. Step 2: Convert to fraction form
    883.02/1,322.67 = 556.80/x
  3. Step 3: Cross multiply
    883.02x = 1,322.67 × 556.80
  4. Step 4: Simplify right side
    883.02x = 736,462.66
  5. Step 5: Solve for x
    x = 736,462.66/883.02
  6. Step 6: Final answer
    x = 834.03

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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.