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Finding the Fourth Proportional to 434.53, 600.14 and 317.03

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Solution

The fourth proportional to 434.53, 600.14 and 317.03 is: 437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.53 : 600.14 = 317.03 : x
  2. Step 2: Convert to fraction form
    434.53/600.14 = 317.03/x
  3. Step 3: Cross multiply
    434.53x = 600.14 × 317.03
  4. Step 4: Simplify right side
    434.53x = 190,262.38
  5. Step 5: Solve for x
    x = 190,262.38/434.53
  6. Step 6: Final answer
    x = 437.86

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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.