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Finding the Fourth Proportional to 419.40, 632.85 and 403.32

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Solution

The fourth proportional to 419.40, 632.85 and 403.32 is: 608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.40 : 632.85 = 403.32 : x
  2. Step 2: Convert to fraction form
    419.40/632.85 = 403.32/x
  3. Step 3: Cross multiply
    419.40x = 632.85 × 403.32
  4. Step 4: Simplify right side
    419.40x = 255,241.06
  5. Step 5: Solve for x
    x = 255,241.06/419.40
  6. Step 6: Final answer
    x = 608.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.