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Finding the Fourth Proportional to 949.95, 1,310.40 and 577.08

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Solution

The fourth proportional to 949.95, 1,310.40 and 577.08 is: 796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.95 : 1,310.40 = 577.08 : x
  2. Step 2: Convert to fraction form
    949.95/1,310.40 = 577.08/x
  3. Step 3: Cross multiply
    949.95x = 1,310.40 × 577.08
  4. Step 4: Simplify right side
    949.95x = 756,205.63
  5. Step 5: Solve for x
    x = 756,205.63/949.95
  6. Step 6: Final answer
    x = 796.05

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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.