Home / 1,381.16-2,071.70-407.24

Finding the Fourth Proportional to 1,381.16, 2,071.70 and 407.24

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Solution

The fourth proportional to 1,381.16, 2,071.70 and 407.24 is: 610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.16 : 2,071.70 = 407.24 : x
  2. Step 2: Convert to fraction form
    1,381.16/2,071.70 = 407.24/x
  3. Step 3: Cross multiply
    1,381.16x = 2,071.70 × 407.24
  4. Step 4: Simplify right side
    1,381.16x = 843,679.11
  5. Step 5: Solve for x
    x = 843,679.11/1,381.16
  6. Step 6: Final answer
    x = 610.85

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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.