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Finding the Fourth Proportional to 419.84, 632.40 and 374.72

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Solution

The fourth proportional to 419.84, 632.40 and 374.72 is: 564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.84 : 632.40 = 374.72 : x
  2. Step 2: Convert to fraction form
    419.84/632.40 = 374.72/x
  3. Step 3: Cross multiply
    419.84x = 632.40 × 374.72
  4. Step 4: Simplify right side
    419.84x = 236,972.93
  5. Step 5: Solve for x
    x = 236,972.93/419.84
  6. Step 6: Final answer
    x = 564.44

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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.