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Finding the Fourth Proportional to 504.74, 696.38 and 305.48

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Solution

The fourth proportional to 504.74, 696.38 and 305.48 is: 421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.74 : 696.38 = 305.48 : x
  2. Step 2: Convert to fraction form
    504.74/696.38 = 305.48/x
  3. Step 3: Cross multiply
    504.74x = 696.38 × 305.48
  4. Step 4: Simplify right side
    504.74x = 212,730.16
  5. Step 5: Solve for x
    x = 212,730.16/504.74
  6. Step 6: Final answer
    x = 421.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.