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Finding the Fourth Proportional to 1,470.84, 2,204.94 and 855.06

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Solution

The fourth proportional to 1,470.84, 2,204.94 and 855.06 is: 1,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.84 : 2,204.94 = 855.06 : x
  2. Step 2: Convert to fraction form
    1,470.84/2,204.94 = 855.06/x
  3. Step 3: Cross multiply
    1,470.84x = 2,204.94 × 855.06
  4. Step 4: Simplify right side
    1,470.84x = 1,885,356.00
  5. Step 5: Solve for x
    x = 1,885,356.00/1,470.84
  6. Step 6: Final answer
    x = 1,281.82

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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.