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Finding the Fourth Proportional to 1,853.75, 2,780.89 and 603.94

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Solution

The fourth proportional to 1,853.75, 2,780.89 and 603.94 is: 905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.75 : 2,780.89 = 603.94 : x
  2. Step 2: Convert to fraction form
    1,853.75/2,780.89 = 603.94/x
  3. Step 3: Cross multiply
    1,853.75x = 2,780.89 × 603.94
  4. Step 4: Simplify right side
    1,853.75x = 1,679,482.24
  5. Step 5: Solve for x
    x = 1,679,482.24/1,853.75
  6. Step 6: Final answer
    x = 905.99

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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.