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Finding the Fourth Proportional to 1,648.91, 2,473.59 and 553.13

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Solution

The fourth proportional to 1,648.91, 2,473.59 and 553.13 is: 829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.91 : 2,473.59 = 553.13 : x
  2. Step 2: Convert to fraction form
    1,648.91/2,473.59 = 553.13/x
  3. Step 3: Cross multiply
    1,648.91x = 2,473.59 × 553.13
  4. Step 4: Simplify right side
    1,648.91x = 1,368,212.71
  5. Step 5: Solve for x
    x = 1,368,212.71/1,648.91
  6. Step 6: Final answer
    x = 829.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.