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Finding the Fourth Proportional to 497.40, 685.74 and 419.64

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Solution

The fourth proportional to 497.40, 685.74 and 419.64 is: 578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.40 : 685.74 = 419.64 : x
  2. Step 2: Convert to fraction form
    497.40/685.74 = 419.64/x
  3. Step 3: Cross multiply
    497.40x = 685.74 × 419.64
  4. Step 4: Simplify right side
    497.40x = 287,763.93
  5. Step 5: Solve for x
    x = 287,763.93/497.40
  6. Step 6: Final answer
    x = 578.54

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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.