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Finding the Fourth Proportional to 1,259, 1,736.30 and 816.46

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Solution

The fourth proportional to 1,259, 1,736.30 and 816.46 is: 1,125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259 : 1,736.30 = 816.46 : x
  2. Step 2: Convert to fraction form
    1,259/1,736.30 = 816.46/x
  3. Step 3: Cross multiply
    1,259x = 1,736.30 × 816.46
  4. Step 4: Simplify right side
    1,259x = 1,417,619.50
  5. Step 5: Solve for x
    x = 1,417,619.50/1,259
  6. Step 6: Final answer
    x = 1,125.99

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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.