Home / 1,011.20-1,516.77-491.24

Finding the Fourth Proportional to 1,011.20, 1,516.77 and 491.24

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Solution

The fourth proportional to 1,011.20, 1,516.77 and 491.24 is: 736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.20 : 1,516.77 = 491.24 : x
  2. Step 2: Convert to fraction form
    1,011.20/1,516.77 = 491.24/x
  3. Step 3: Cross multiply
    1,011.20x = 1,516.77 × 491.24
  4. Step 4: Simplify right side
    1,011.20x = 745,090.51
  5. Step 5: Solve for x
    x = 745,090.51/1,011.20
  6. Step 6: Final answer
    x = 736.84

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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.