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Finding the Fourth Proportional to 1,503.95, 2,255.94 and 853.92

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Solution

The fourth proportional to 1,503.95, 2,255.94 and 853.92 is: 1,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.95 : 2,255.94 = 853.92 : x
  2. Step 2: Convert to fraction form
    1,503.95/2,255.94 = 853.92/x
  3. Step 3: Cross multiply
    1,503.95x = 2,255.94 × 853.92
  4. Step 4: Simplify right side
    1,503.95x = 1,926,392.28
  5. Step 5: Solve for x
    x = 1,926,392.28/1,503.95
  6. Step 6: Final answer
    x = 1,280.89

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1.5x scale

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.