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Finding the Fourth Proportional to 504.07, 696.05 and 420.34

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Solution

The fourth proportional to 504.07, 696.05 and 420.34 is: 580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.07 : 696.05 = 420.34 : x
  2. Step 2: Convert to fraction form
    504.07/696.05 = 420.34/x
  3. Step 3: Cross multiply
    504.07x = 696.05 × 420.34
  4. Step 4: Simplify right side
    504.07x = 292,577.66
  5. Step 5: Solve for x
    x = 292,577.66/504.07
  6. Step 6: Final answer
    x = 580.43

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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.