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Finding the Fourth Proportional to 1,206.25, 1,809.56 and 436.93

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Solution

The fourth proportional to 1,206.25, 1,809.56 and 436.93 is: 655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.25 : 1,809.56 = 436.93 : x
  2. Step 2: Convert to fraction form
    1,206.25/1,809.56 = 436.93/x
  3. Step 3: Cross multiply
    1,206.25x = 1,809.56 × 436.93
  4. Step 4: Simplify right side
    1,206.25x = 790,651.05
  5. Step 5: Solve for x
    x = 790,651.05/1,206.25
  6. Step 6: Final answer
    x = 655.46

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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.