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Finding the Fourth Proportional to 504.25, 696.07 and 434.03

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Solution

The fourth proportional to 504.25, 696.07 and 434.03 is: 599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.25 : 696.07 = 434.03 : x
  2. Step 2: Convert to fraction form
    504.25/696.07 = 434.03/x
  3. Step 3: Cross multiply
    504.25x = 696.07 × 434.03
  4. Step 4: Simplify right side
    504.25x = 302,115.26
  5. Step 5: Solve for x
    x = 302,115.26/504.25
  6. Step 6: Final answer
    x = 599.14

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Similar ratio
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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.