Home / 1,591.03-2,386.62-436.78

Finding the Fourth Proportional to 1,591.03, 2,386.62 and 436.78

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Solution

The fourth proportional to 1,591.03, 2,386.62 and 436.78 is: 655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.03 : 2,386.62 = 436.78 : x
  2. Step 2: Convert to fraction form
    1,591.03/2,386.62 = 436.78/x
  3. Step 3: Cross multiply
    1,591.03x = 2,386.62 × 436.78
  4. Step 4: Simplify right side
    1,591.03x = 1,042,429.23
  5. Step 5: Solve for x
    x = 1,042,429.23/1,591.03
  6. Step 6: Final answer
    x = 655.19

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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.