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Finding the Fourth Proportional to 620.48, 854.81 and 433.64

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Solution

The fourth proportional to 620.48, 854.81 and 433.64 is: 597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.48 : 854.81 = 433.64 : x
  2. Step 2: Convert to fraction form
    620.48/854.81 = 433.64/x
  3. Step 3: Cross multiply
    620.48x = 854.81 × 433.64
  4. Step 4: Simplify right side
    620.48x = 370,679.81
  5. Step 5: Solve for x
    x = 370,679.81/620.48
  6. Step 6: Final answer
    x = 597.41

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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.