Home / 1,008.20-1,514.10-975.80

Finding the Fourth Proportional to 1,008.20, 1,514.10 and 975.80

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Solution

The fourth proportional to 1,008.20, 1,514.10 and 975.80 is: 1,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.20 : 1,514.10 = 975.80 : x
  2. Step 2: Convert to fraction form
    1,008.20/1,514.10 = 975.80/x
  3. Step 3: Cross multiply
    1,008.20x = 1,514.10 × 975.80
  4. Step 4: Simplify right side
    1,008.20x = 1,477,458.78
  5. Step 5: Solve for x
    x = 1,477,458.78/1,008.20
  6. Step 6: Final answer
    x = 1,465.44

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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.