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Finding the Fourth Proportional to 1,484.47, 2,048.47 and 821.31

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Solution

The fourth proportional to 1,484.47, 2,048.47 and 821.31 is: 1,133.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.47 : 2,048.47 = 821.31 : x
  2. Step 2: Convert to fraction form
    1,484.47/2,048.47 = 821.31/x
  3. Step 3: Cross multiply
    1,484.47x = 2,048.47 × 821.31
  4. Step 4: Simplify right side
    1,484.47x = 1,682,428.90
  5. Step 5: Solve for x
    x = 1,682,428.90/1,484.47
  6. Step 6: Final answer
    x = 1,133.35

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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.