Home / 1,381.08-2,071.63-407.11

Finding the Fourth Proportional to 1,381.08, 2,071.63 and 407.11

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Solution

The fourth proportional to 1,381.08, 2,071.63 and 407.11 is: 610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.08 : 2,071.63 = 407.11 : x
  2. Step 2: Convert to fraction form
    1,381.08/2,071.63 = 407.11/x
  3. Step 3: Cross multiply
    1,381.08x = 2,071.63 × 407.11
  4. Step 4: Simplify right side
    1,381.08x = 843,378.21
  5. Step 5: Solve for x
    x = 843,378.21/1,381.08
  6. Step 6: Final answer
    x = 610.66

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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.