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Finding the Fourth Proportional to 505.75, 756.99 and 432.49

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Solution

The fourth proportional to 505.75, 756.99 and 432.49 is: 647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.75 : 756.99 = 432.49 : x
  2. Step 2: Convert to fraction form
    505.75/756.99 = 432.49/x
  3. Step 3: Cross multiply
    505.75x = 756.99 × 432.49
  4. Step 4: Simplify right side
    505.75x = 327,386.82
  5. Step 5: Solve for x
    x = 327,386.82/505.75
  6. Step 6: Final answer
    x = 647.34

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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.