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Finding the Fourth Proportional to 1,305.12, 1,800.63 and 774.16

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Solution

The fourth proportional to 1,305.12, 1,800.63 and 774.16 is: 1,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.12 : 1,800.63 = 774.16 : x
  2. Step 2: Convert to fraction form
    1,305.12/1,800.63 = 774.16/x
  3. Step 3: Cross multiply
    1,305.12x = 1,800.63 × 774.16
  4. Step 4: Simplify right side
    1,305.12x = 1,393,982.61
  5. Step 5: Solve for x
    x = 1,393,982.61/1,305.12
  6. Step 6: Final answer
    x = 1,068.09

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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.