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Finding the Fourth Proportional to 505.64, 754.92 and 474.74

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Solution

The fourth proportional to 505.64, 754.92 and 474.74 is: 708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.64 : 754.92 = 474.74 : x
  2. Step 2: Convert to fraction form
    505.64/754.92 = 474.74/x
  3. Step 3: Cross multiply
    505.64x = 754.92 × 474.74
  4. Step 4: Simplify right side
    505.64x = 358,390.72
  5. Step 5: Solve for x
    x = 358,390.72/505.64
  6. Step 6: Final answer
    x = 708.79

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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.