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Finding the Fourth Proportional to 1,389.97, 1,917.24 and 830.00

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Solution

The fourth proportional to 1,389.97, 1,917.24 and 830.00 is: 1,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.97 : 1,917.24 = 830.00 : x
  2. Step 2: Convert to fraction form
    1,389.97/1,917.24 = 830.00/x
  3. Step 3: Cross multiply
    1,389.97x = 1,917.24 × 830.00
  4. Step 4: Simplify right side
    1,389.97x = 1,591,307.52
  5. Step 5: Solve for x
    x = 1,591,307.52/1,389.97
  6. Step 6: Final answer
    x = 1,144.85

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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.