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Finding the Fourth Proportional to 1,470.37, 2,029.04 and 841.00

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Solution

The fourth proportional to 1,470.37, 2,029.04 and 841.00 is: 1,160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.37 : 2,029.04 = 841.00 : x
  2. Step 2: Convert to fraction form
    1,470.37/2,029.04 = 841.00/x
  3. Step 3: Cross multiply
    1,470.37x = 2,029.04 × 841.00
  4. Step 4: Simplify right side
    1,470.37x = 1,706,413.36
  5. Step 5: Solve for x
    x = 1,706,413.36/1,470.37
  6. Step 6: Final answer
    x = 1,160.54

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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.