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Finding the Fourth Proportional to 537.69, 807.75 and 435.63

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Solution

The fourth proportional to 537.69, 807.75 and 435.63 is: 654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.69 : 807.75 = 435.63 : x
  2. Step 2: Convert to fraction form
    537.69/807.75 = 435.63/x
  3. Step 3: Cross multiply
    537.69x = 807.75 × 435.63
  4. Step 4: Simplify right side
    537.69x = 351,880.13
  5. Step 5: Solve for x
    x = 351,880.13/537.69
  6. Step 6: Final answer
    x = 654.43

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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.