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Finding the Fourth Proportional to 1,300.58, 1,796.70 and 1,125.62

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Solution

The fourth proportional to 1,300.58, 1,796.70 and 1,125.62 is: 1,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.58 : 1,796.70 = 1,125.62 : x
  2. Step 2: Convert to fraction form
    1,300.58/1,796.70 = 1,125.62/x
  3. Step 3: Cross multiply
    1,300.58x = 1,796.70 × 1,125.62
  4. Step 4: Simplify right side
    1,300.58x = 2,022,386.84
  5. Step 5: Solve for x
    x = 2,022,386.84/1,300.58
  6. Step 6: Final answer
    x = 1,554.99

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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.