Home / 1,484.69-2,048.75-821.57

Finding the Fourth Proportional to 1,484.69, 2,048.75 and 821.57

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Solution

The fourth proportional to 1,484.69, 2,048.75 and 821.57 is: 1,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.69 : 2,048.75 = 821.57 : x
  2. Step 2: Convert to fraction form
    1,484.69/2,048.75 = 821.57/x
  3. Step 3: Cross multiply
    1,484.69x = 2,048.75 × 821.57
  4. Step 4: Simplify right side
    1,484.69x = 1,683,177.19
  5. Step 5: Solve for x
    x = 1,683,177.19/1,484.69
  6. Step 6: Final answer
    x = 1,133.69

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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.