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Finding the Fourth Proportional to 1,022.95, 1,412.47 and 786.53

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Solution

The fourth proportional to 1,022.95, 1,412.47 and 786.53 is: 1,086.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.95 : 1,412.47 = 786.53 : x
  2. Step 2: Convert to fraction form
    1,022.95/1,412.47 = 786.53/x
  3. Step 3: Cross multiply
    1,022.95x = 1,412.47 × 786.53
  4. Step 4: Simplify right side
    1,022.95x = 1,110,950.03
  5. Step 5: Solve for x
    x = 1,110,950.03/1,022.95
  6. Step 6: Final answer
    x = 1,086.03

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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.