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Finding the Fourth Proportional to 505.42, 756.90 and 501.78

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Solution

The fourth proportional to 505.42, 756.90 and 501.78 is: 751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.42 : 756.90 = 501.78 : x
  2. Step 2: Convert to fraction form
    505.42/756.90 = 501.78/x
  3. Step 3: Cross multiply
    505.42x = 756.90 × 501.78
  4. Step 4: Simplify right side
    505.42x = 379,797.28
  5. Step 5: Solve for x
    x = 379,797.28/505.42
  6. Step 6: Final answer
    x = 751.45

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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.