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Finding the Fourth Proportional to 505.07, 753.77 and 492.11

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Solution

The fourth proportional to 505.07, 753.77 and 492.11 is: 734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.07 : 753.77 = 492.11 : x
  2. Step 2: Convert to fraction form
    505.07/753.77 = 492.11/x
  3. Step 3: Cross multiply
    505.07x = 753.77 × 492.11
  4. Step 4: Simplify right side
    505.07x = 370,935.29
  5. Step 5: Solve for x
    x = 370,935.29/505.07
  6. Step 6: Final answer
    x = 734.42

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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.