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Finding the Fourth Proportional to 1,295.39, 1,933.13 and 1,157.00

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Solution

The fourth proportional to 1,295.39, 1,933.13 and 1,157.00 is: 1,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.39 : 1,933.13 = 1,157.00 : x
  2. Step 2: Convert to fraction form
    1,295.39/1,933.13 = 1,157.00/x
  3. Step 3: Cross multiply
    1,295.39x = 1,933.13 × 1,157.00
  4. Step 4: Simplify right side
    1,295.39x = 2,236,624.64
  5. Step 5: Solve for x
    x = 2,236,624.64/1,295.39
  6. Step 6: Final answer
    x = 1,726.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.