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Finding the Fourth Proportional to 504.38, 696.87 and 380.45

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Solution

The fourth proportional to 504.38, 696.87 and 380.45 is: 525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.38 : 696.87 = 380.45 : x
  2. Step 2: Convert to fraction form
    504.38/696.87 = 380.45/x
  3. Step 3: Cross multiply
    504.38x = 696.87 × 380.45
  4. Step 4: Simplify right side
    504.38x = 265,124.19
  5. Step 5: Solve for x
    x = 265,124.19/504.38
  6. Step 6: Final answer
    x = 525.64

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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.