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Finding the Fourth Proportional to 1,281.65, 1,768.70 and 714.50

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Solution

The fourth proportional to 1,281.65, 1,768.70 and 714.50 is: 986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.65 : 1,768.70 = 714.50 : x
  2. Step 2: Convert to fraction form
    1,281.65/1,768.70 = 714.50/x
  3. Step 3: Cross multiply
    1,281.65x = 1,768.70 × 714.50
  4. Step 4: Simplify right side
    1,281.65x = 1,263,736.15
  5. Step 5: Solve for x
    x = 1,263,736.15/1,281.65
  6. Step 6: Final answer
    x = 986.02

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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.