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Finding the Fourth Proportional to 505.52, 756.72 and 368.53

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Solution

The fourth proportional to 505.52, 756.72 and 368.53 is: 551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.52 : 756.72 = 368.53 : x
  2. Step 2: Convert to fraction form
    505.52/756.72 = 368.53/x
  3. Step 3: Cross multiply
    505.52x = 756.72 × 368.53
  4. Step 4: Simplify right side
    505.52x = 278,872.13
  5. Step 5: Solve for x
    x = 278,872.13/505.52
  6. Step 6: Final answer
    x = 551.66

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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.