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Finding the Fourth Proportional to 504.21, 695.88 and 421.20

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Solution

The fourth proportional to 504.21, 695.88 and 421.20 is: 581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.21 : 695.88 = 421.20 : x
  2. Step 2: Convert to fraction form
    504.21/695.88 = 421.20/x
  3. Step 3: Cross multiply
    504.21x = 695.88 × 421.20
  4. Step 4: Simplify right side
    504.21x = 293,104.66
  5. Step 5: Solve for x
    x = 293,104.66/504.21
  6. Step 6: Final answer
    x = 581.31

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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.