Home / 1,562.14-2,343.21-407.89

Finding the Fourth Proportional to 1,562.14, 2,343.21 and 407.89

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Solution

The fourth proportional to 1,562.14, 2,343.21 and 407.89 is: 611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.14 : 2,343.21 = 407.89 : x
  2. Step 2: Convert to fraction form
    1,562.14/2,343.21 = 407.89/x
  3. Step 3: Cross multiply
    1,562.14x = 2,343.21 × 407.89
  4. Step 4: Simplify right side
    1,562.14x = 955,771.93
  5. Step 5: Solve for x
    x = 955,771.93/1,562.14
  6. Step 6: Final answer
    x = 611.84

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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.