Home / 1,588.18-2,383.80-767.03

Finding the Fourth Proportional to 1,588.18, 2,383.80 and 767.03

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Solution

The fourth proportional to 1,588.18, 2,383.80 and 767.03 is: 1,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.18 : 2,383.80 = 767.03 : x
  2. Step 2: Convert to fraction form
    1,588.18/2,383.80 = 767.03/x
  3. Step 3: Cross multiply
    1,588.18x = 2,383.80 × 767.03
  4. Step 4: Simplify right side
    1,588.18x = 1,828,430.36
  5. Step 5: Solve for x
    x = 1,828,430.36/1,588.18
  6. Step 6: Final answer
    x = 1,151.28

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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.