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Finding the Fourth Proportional to 1,194.02, 1,647.40 and 774.40

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Solution

The fourth proportional to 1,194.02, 1,647.40 and 774.40 is: 1,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.02 : 1,647.40 = 774.40 : x
  2. Step 2: Convert to fraction form
    1,194.02/1,647.40 = 774.40/x
  3. Step 3: Cross multiply
    1,194.02x = 1,647.40 × 774.40
  4. Step 4: Simplify right side
    1,194.02x = 1,275,746.56
  5. Step 5: Solve for x
    x = 1,275,746.56/1,194.02
  6. Step 6: Final answer
    x = 1,068.45

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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.