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Finding the Fourth Proportional to 1,089.48, 1,503.41 and 610.94

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Solution

The fourth proportional to 1,089.48, 1,503.41 and 610.94 is: 843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.48 : 1,503.41 = 610.94 : x
  2. Step 2: Convert to fraction form
    1,089.48/1,503.41 = 610.94/x
  3. Step 3: Cross multiply
    1,089.48x = 1,503.41 × 610.94
  4. Step 4: Simplify right side
    1,089.48x = 918,482.73
  5. Step 5: Solve for x
    x = 918,482.73/1,089.48
  6. Step 6: Final answer
    x = 843.05

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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.