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Finding the Fourth Proportional to 1,031.94, 1,554.98 and 853.33

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Solution

The fourth proportional to 1,031.94, 1,554.98 and 853.33 is: 1,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.94 : 1,554.98 = 853.33 : x
  2. Step 2: Convert to fraction form
    1,031.94/1,554.98 = 853.33/x
  3. Step 3: Cross multiply
    1,031.94x = 1,554.98 × 853.33
  4. Step 4: Simplify right side
    1,031.94x = 1,326,911.08
  5. Step 5: Solve for x
    x = 1,326,911.08/1,031.94
  6. Step 6: Final answer
    x = 1,285.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.