Home / 1,037.24-1,556.10-459.80

Finding the Fourth Proportional to 1,037.24, 1,556.10 and 459.80

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Solution

The fourth proportional to 1,037.24, 1,556.10 and 459.80 is: 689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.24 : 1,556.10 = 459.80 : x
  2. Step 2: Convert to fraction form
    1,037.24/1,556.10 = 459.80/x
  3. Step 3: Cross multiply
    1,037.24x = 1,556.10 × 459.80
  4. Step 4: Simplify right side
    1,037.24x = 715,494.78
  5. Step 5: Solve for x
    x = 715,494.78/1,037.24
  6. Step 6: Final answer
    x = 689.81

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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.