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Finding the Fourth Proportional to 505.51, 756.89 and 383.40

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Solution

The fourth proportional to 505.51, 756.89 and 383.40 is: 574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.51 : 756.89 = 383.40 : x
  2. Step 2: Convert to fraction form
    505.51/756.89 = 383.40/x
  3. Step 3: Cross multiply
    505.51x = 756.89 × 383.40
  4. Step 4: Simplify right side
    505.51x = 290,191.63
  5. Step 5: Solve for x
    x = 290,191.63/505.51
  6. Step 6: Final answer
    x = 574.06

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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.