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Finding the Fourth Proportional to 1,314.80, 1,968.15 and 765.35

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Solution

The fourth proportional to 1,314.80, 1,968.15 and 765.35 is: 1,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.80 : 1,968.15 = 765.35 : x
  2. Step 2: Convert to fraction form
    1,314.80/1,968.15 = 765.35/x
  3. Step 3: Cross multiply
    1,314.80x = 1,968.15 × 765.35
  4. Step 4: Simplify right side
    1,314.80x = 1,506,323.60
  5. Step 5: Solve for x
    x = 1,506,323.60/1,314.80
  6. Step 6: Final answer
    x = 1,145.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.