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Finding the Fourth Proportional to 1,412.85, 1,950.24 and 853.32

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Solution

The fourth proportional to 1,412.85, 1,950.24 and 853.32 is: 1,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.85 : 1,950.24 = 853.32 : x
  2. Step 2: Convert to fraction form
    1,412.85/1,950.24 = 853.32/x
  3. Step 3: Cross multiply
    1,412.85x = 1,950.24 × 853.32
  4. Step 4: Simplify right side
    1,412.85x = 1,664,178.80
  5. Step 5: Solve for x
    x = 1,664,178.80/1,412.85
  6. Step 6: Final answer
    x = 1,177.89

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1.5x scale

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.