Home / 1,407.68-2,110.28-541.36

Finding the Fourth Proportional to 1,407.68, 2,110.28 and 541.36

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Solution

The fourth proportional to 1,407.68, 2,110.28 and 541.36 is: 811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.68 : 2,110.28 = 541.36 : x
  2. Step 2: Convert to fraction form
    1,407.68/2,110.28 = 541.36/x
  3. Step 3: Cross multiply
    1,407.68x = 2,110.28 × 541.36
  4. Step 4: Simplify right side
    1,407.68x = 1,142,421.18
  5. Step 5: Solve for x
    x = 1,142,421.18/1,407.68
  6. Step 6: Final answer
    x = 811.56

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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.