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Finding the Fourth Proportional to 1,008.99, 1,506.29 and 853.88

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Solution

The fourth proportional to 1,008.99, 1,506.29 and 853.88 is: 1,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.99 : 1,506.29 = 853.88 : x
  2. Step 2: Convert to fraction form
    1,008.99/1,506.29 = 853.88/x
  3. Step 3: Cross multiply
    1,008.99x = 1,506.29 × 853.88
  4. Step 4: Simplify right side
    1,008.99x = 1,286,179.10
  5. Step 5: Solve for x
    x = 1,286,179.10/1,008.99
  6. Step 6: Final answer
    x = 1,274.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.