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Finding the Fourth Proportional to 1,695.55, 2,339.80 and 949.45

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Solution

The fourth proportional to 1,695.55, 2,339.80 and 949.45 is: 1,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.55 : 2,339.80 = 949.45 : x
  2. Step 2: Convert to fraction form
    1,695.55/2,339.80 = 949.45/x
  3. Step 3: Cross multiply
    1,695.55x = 2,339.80 × 949.45
  4. Step 4: Simplify right side
    1,695.55x = 2,221,523.11
  5. Step 5: Solve for x
    x = 2,221,523.11/1,695.55
  6. Step 6: Final answer
    x = 1,310.21

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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.