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Finding the Fourth Proportional to 1,770.94, 2,655.99 and 729.91

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Solution

The fourth proportional to 1,770.94, 2,655.99 and 729.91 is: 1,094.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.94 : 2,655.99 = 729.91 : x
  2. Step 2: Convert to fraction form
    1,770.94/2,655.99 = 729.91/x
  3. Step 3: Cross multiply
    1,770.94x = 2,655.99 × 729.91
  4. Step 4: Simplify right side
    1,770.94x = 1,938,627.02
  5. Step 5: Solve for x
    x = 1,938,627.02/1,770.94
  6. Step 6: Final answer
    x = 1,094.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.