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Finding the Fourth Proportional to 1,021.51, 1,409.69 and 555.75

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Solution

The fourth proportional to 1,021.51, 1,409.69 and 555.75 is: 766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.51 : 1,409.69 = 555.75 : x
  2. Step 2: Convert to fraction form
    1,021.51/1,409.69 = 555.75/x
  3. Step 3: Cross multiply
    1,021.51x = 1,409.69 × 555.75
  4. Step 4: Simplify right side
    1,021.51x = 783,432.44
  5. Step 5: Solve for x
    x = 783,432.44/1,021.51
  6. Step 6: Final answer
    x = 766.94

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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.