Home / 1,107.14-1,527.84-609.75

Finding the Fourth Proportional to 1,107.14, 1,527.84 and 609.75

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Solution

The fourth proportional to 1,107.14, 1,527.84 and 609.75 is: 841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.14 : 1,527.84 = 609.75 : x
  2. Step 2: Convert to fraction form
    1,107.14/1,527.84 = 609.75/x
  3. Step 3: Cross multiply
    1,107.14x = 1,527.84 × 609.75
  4. Step 4: Simplify right side
    1,107.14x = 931,600.44
  5. Step 5: Solve for x
    x = 931,600.44/1,107.14
  6. Step 6: Final answer
    x = 841.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.