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Finding the Fourth Proportional to 537.43, 810.16 and 501.71

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Solution

The fourth proportional to 537.43, 810.16 and 501.71 is: 756.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.43 : 810.16 = 501.71 : x
  2. Step 2: Convert to fraction form
    537.43/810.16 = 501.71/x
  3. Step 3: Cross multiply
    537.43x = 810.16 × 501.71
  4. Step 4: Simplify right side
    537.43x = 406,465.37
  5. Step 5: Solve for x
    x = 406,465.37/537.43
  6. Step 6: Final answer
    x = 756.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.