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Finding the Fourth Proportional to 1,021.45, 1,409.59 and 555.70

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Solution

The fourth proportional to 1,021.45, 1,409.59 and 555.70 is: 766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.45 : 1,409.59 = 555.70 : x
  2. Step 2: Convert to fraction form
    1,021.45/1,409.59 = 555.70/x
  3. Step 3: Cross multiply
    1,021.45x = 1,409.59 × 555.70
  4. Step 4: Simplify right side
    1,021.45x = 783,309.16
  5. Step 5: Solve for x
    x = 783,309.16/1,021.45
  6. Step 6: Final answer
    x = 766.86

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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.