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Finding the Fourth Proportional to 1,591.13, 2,386.73 and 436.88

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Solution

The fourth proportional to 1,591.13, 2,386.73 and 436.88 is: 655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.13 : 2,386.73 = 436.88 : x
  2. Step 2: Convert to fraction form
    1,591.13/2,386.73 = 436.88/x
  3. Step 3: Cross multiply
    1,591.13x = 2,386.73 × 436.88
  4. Step 4: Simplify right side
    1,591.13x = 1,042,714.60
  5. Step 5: Solve for x
    x = 1,042,714.60/1,591.13
  6. Step 6: Final answer
    x = 655.33

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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.