Home / 1,514.36-2,271.48-474.20

Finding the Fourth Proportional to 1,514.36, 2,271.48 and 474.20

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Solution

The fourth proportional to 1,514.36, 2,271.48 and 474.20 is: 711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.36 : 2,271.48 = 474.20 : x
  2. Step 2: Convert to fraction form
    1,514.36/2,271.48 = 474.20/x
  3. Step 3: Cross multiply
    1,514.36x = 2,271.48 × 474.20
  4. Step 4: Simplify right side
    1,514.36x = 1,077,131.20
  5. Step 5: Solve for x
    x = 1,077,131.20/1,514.36
  6. Step 6: Final answer
    x = 711.28

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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.