Home / 1,529.10-2,290.59-706.20

Finding the Fourth Proportional to 1,529.10, 2,290.59 and 706.20

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Solution

The fourth proportional to 1,529.10, 2,290.59 and 706.20 is: 1,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.10 : 2,290.59 = 706.20 : x
  2. Step 2: Convert to fraction form
    1,529.10/2,290.59 = 706.20/x
  3. Step 3: Cross multiply
    1,529.10x = 2,290.59 × 706.20
  4. Step 4: Simplify right side
    1,529.10x = 1,617,614.66
  5. Step 5: Solve for x
    x = 1,617,614.66/1,529.10
  6. Step 6: Final answer
    x = 1,057.89

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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.