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Finding the Fourth Proportional to 1,289.36, 1,780.13 and 848.00

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Solution

The fourth proportional to 1,289.36, 1,780.13 and 848.00 is: 1,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.36 : 1,780.13 = 848.00 : x
  2. Step 2: Convert to fraction form
    1,289.36/1,780.13 = 848.00/x
  3. Step 3: Cross multiply
    1,289.36x = 1,780.13 × 848.00
  4. Step 4: Simplify right side
    1,289.36x = 1,509,537.10
  5. Step 5: Solve for x
    x = 1,509,537.10/1,289.36
  6. Step 6: Final answer
    x = 1,170.77

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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.