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Finding the Fourth Proportional to 1,396.30, 1,926.90 and 766.88

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Solution

The fourth proportional to 1,396.30, 1,926.90 and 766.88 is: 1,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.30 : 1,926.90 = 766.88 : x
  2. Step 2: Convert to fraction form
    1,396.30/1,926.90 = 766.88/x
  3. Step 3: Cross multiply
    1,396.30x = 1,926.90 × 766.88
  4. Step 4: Simplify right side
    1,396.30x = 1,477,701.07
  5. Step 5: Solve for x
    x = 1,477,701.07/1,396.30
  6. Step 6: Final answer
    x = 1,058.30

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1.5x scale

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.