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Finding the Fourth Proportional to 1,291.14, 1,782.09 and 818.90

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Solution

The fourth proportional to 1,291.14, 1,782.09 and 818.90 is: 1,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.14 : 1,782.09 = 818.90 : x
  2. Step 2: Convert to fraction form
    1,291.14/1,782.09 = 818.90/x
  3. Step 3: Cross multiply
    1,291.14x = 1,782.09 × 818.90
  4. Step 4: Simplify right side
    1,291.14x = 1,459,344.59
  5. Step 5: Solve for x
    x = 1,459,344.59/1,291.14
  6. Step 6: Final answer
    x = 1,130.28

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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.