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Finding the Fourth Proportional to 1,308.63, 1,803.48 and 889.00

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Solution

The fourth proportional to 1,308.63, 1,803.48 and 889.00 is: 1,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.63 : 1,803.48 = 889.00 : x
  2. Step 2: Convert to fraction form
    1,308.63/1,803.48 = 889.00/x
  3. Step 3: Cross multiply
    1,308.63x = 1,803.48 × 889.00
  4. Step 4: Simplify right side
    1,308.63x = 1,603,292.20
  5. Step 5: Solve for x
    x = 1,603,292.20/1,308.63
  6. Step 6: Final answer
    x = 1,225.17

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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.