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Finding the Fourth Proportional to 505.05, 753.82 and 492.75

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Solution

The fourth proportional to 505.05, 753.82 and 492.75 is: 735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.05 : 753.82 = 492.75 : x
  2. Step 2: Convert to fraction form
    505.05/753.82 = 492.75/x
  3. Step 3: Cross multiply
    505.05x = 753.82 × 492.75
  4. Step 4: Simplify right side
    505.05x = 371,444.81
  5. Step 5: Solve for x
    x = 371,444.81/505.05
  6. Step 6: Final answer
    x = 735.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.