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Finding the Fourth Proportional to 1,385.22, 2,075.98 and 506.90

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Solution

The fourth proportional to 1,385.22, 2,075.98 and 506.90 is: 759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.22 : 2,075.98 = 506.90 : x
  2. Step 2: Convert to fraction form
    1,385.22/2,075.98 = 506.90/x
  3. Step 3: Cross multiply
    1,385.22x = 2,075.98 × 506.90
  4. Step 4: Simplify right side
    1,385.22x = 1,052,314.26
  5. Step 5: Solve for x
    x = 1,052,314.26/1,385.22
  6. Step 6: Final answer
    x = 759.67

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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.