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Finding the Fourth Proportional to 1,412.80, 1,949.76 and 815.50

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Solution

The fourth proportional to 1,412.80, 1,949.76 and 815.50 is: 1,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.80 : 1,949.76 = 815.50 : x
  2. Step 2: Convert to fraction form
    1,412.80/1,949.76 = 815.50/x
  3. Step 3: Cross multiply
    1,412.80x = 1,949.76 × 815.50
  4. Step 4: Simplify right side
    1,412.80x = 1,590,029.28
  5. Step 5: Solve for x
    x = 1,590,029.28/1,412.80
  6. Step 6: Final answer
    x = 1,125.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.