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Finding the Fourth Proportional to 1,011.55, 1,520.93 and 853.15

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Solution

The fourth proportional to 1,011.55, 1,520.93 and 853.15 is: 1,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.55 : 1,520.93 = 853.15 : x
  2. Step 2: Convert to fraction form
    1,011.55/1,520.93 = 853.15/x
  3. Step 3: Cross multiply
    1,011.55x = 1,520.93 × 853.15
  4. Step 4: Simplify right side
    1,011.55x = 1,297,581.43
  5. Step 5: Solve for x
    x = 1,297,581.43/1,011.55
  6. Step 6: Final answer
    x = 1,282.77

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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.