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Finding the Fourth Proportional to 1,004.40, 1,504.80 and 889.20

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Solution

The fourth proportional to 1,004.40, 1,504.80 and 889.20 is: 1,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.40 : 1,504.80 = 889.20 : x
  2. Step 2: Convert to fraction form
    1,004.40/1,504.80 = 889.20/x
  3. Step 3: Cross multiply
    1,004.40x = 1,504.80 × 889.20
  4. Step 4: Simplify right side
    1,004.40x = 1,338,068.16
  5. Step 5: Solve for x
    x = 1,338,068.16/1,004.40
  6. Step 6: Final answer
    x = 1,332.21

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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.