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Finding the Fourth Proportional to 542.88, 812.64 and 419.04

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Solution

The fourth proportional to 542.88, 812.64 and 419.04 is: 627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.88 : 812.64 = 419.04 : x
  2. Step 2: Convert to fraction form
    542.88/812.64 = 419.04/x
  3. Step 3: Cross multiply
    542.88x = 812.64 × 419.04
  4. Step 4: Simplify right side
    542.88x = 340,528.67
  5. Step 5: Solve for x
    x = 340,528.67/542.88
  6. Step 6: Final answer
    x = 627.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.