Home / 1,075.24-1,613.18-450.83

Finding the Fourth Proportional to 1,075.24, 1,613.18 and 450.83

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Solution

The fourth proportional to 1,075.24, 1,613.18 and 450.83 is: 676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.24 : 1,613.18 = 450.83 : x
  2. Step 2: Convert to fraction form
    1,075.24/1,613.18 = 450.83/x
  3. Step 3: Cross multiply
    1,075.24x = 1,613.18 × 450.83
  4. Step 4: Simplify right side
    1,075.24x = 727,275.10
  5. Step 5: Solve for x
    x = 727,275.10/1,075.24
  6. Step 6: Final answer
    x = 676.38

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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.