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Finding the Fourth Proportional to 1,498.49, 2,247.33 and 573.77

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Solution

The fourth proportional to 1,498.49, 2,247.33 and 573.77 is: 860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.49 : 2,247.33 = 573.77 : x
  2. Step 2: Convert to fraction form
    1,498.49/2,247.33 = 573.77/x
  3. Step 3: Cross multiply
    1,498.49x = 2,247.33 × 573.77
  4. Step 4: Simplify right side
    1,498.49x = 1,289,450.53
  5. Step 5: Solve for x
    x = 1,289,450.53/1,498.49
  6. Step 6: Final answer
    x = 860.50

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1.5x scale

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.