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Finding the Fourth Proportional to 1,412.19, 1,948.79 and 774.12

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Solution

The fourth proportional to 1,412.19, 1,948.79 and 774.12 is: 1,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.19 : 1,948.79 = 774.12 : x
  2. Step 2: Convert to fraction form
    1,412.19/1,948.79 = 774.12/x
  3. Step 3: Cross multiply
    1,412.19x = 1,948.79 × 774.12
  4. Step 4: Simplify right side
    1,412.19x = 1,508,593.44
  5. Step 5: Solve for x
    x = 1,508,593.44/1,412.19
  6. Step 6: Final answer
    x = 1,068.27

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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.