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Finding the Fourth Proportional to 505.34, 756.54 and 384.08

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Solution

The fourth proportional to 505.34, 756.54 and 384.08 is: 575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.34 : 756.54 = 384.08 : x
  2. Step 2: Convert to fraction form
    505.34/756.54 = 384.08/x
  3. Step 3: Cross multiply
    505.34x = 756.54 × 384.08
  4. Step 4: Simplify right side
    505.34x = 290,571.88
  5. Step 5: Solve for x
    x = 290,571.88/505.34
  6. Step 6: Final answer
    x = 575.00

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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.