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Finding the Fourth Proportional to 1,283.52, 1,771.40 and 786.50

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Solution

The fourth proportional to 1,283.52, 1,771.40 and 786.50 is: 1,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.52 : 1,771.40 = 786.50 : x
  2. Step 2: Convert to fraction form
    1,283.52/1,771.40 = 786.50/x
  3. Step 3: Cross multiply
    1,283.52x = 1,771.40 × 786.50
  4. Step 4: Simplify right side
    1,283.52x = 1,393,206.10
  5. Step 5: Solve for x
    x = 1,393,206.10/1,283.52
  6. Step 6: Final answer
    x = 1,085.46

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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.