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Finding the Fourth Proportional to 1,124.50, 1,551.74 and 620.33

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Solution

The fourth proportional to 1,124.50, 1,551.74 and 620.33 is: 856.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.50 : 1,551.74 = 620.33 : x
  2. Step 2: Convert to fraction form
    1,124.50/1,551.74 = 620.33/x
  3. Step 3: Cross multiply
    1,124.50x = 1,551.74 × 620.33
  4. Step 4: Simplify right side
    1,124.50x = 962,585.83
  5. Step 5: Solve for x
    x = 962,585.83/1,124.50
  6. Step 6: Final answer
    x = 856.01

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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.