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Finding the Fourth Proportional to 505.70, 760.04 and 492.07

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Solution

The fourth proportional to 505.70, 760.04 and 492.07 is: 739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.70 : 760.04 = 492.07 : x
  2. Step 2: Convert to fraction form
    505.70/760.04 = 492.07/x
  3. Step 3: Cross multiply
    505.70x = 760.04 × 492.07
  4. Step 4: Simplify right side
    505.70x = 373,992.21
  5. Step 5: Solve for x
    x = 373,992.21/505.70
  6. Step 6: Final answer
    x = 739.55

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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.