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Finding the Fourth Proportional to 468, 645.03 and 419.00

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Solution

The fourth proportional to 468, 645.03 and 419.00 is: 577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    468 : 645.03 = 419.00 : x
  2. Step 2: Convert to fraction form
    468/645.03 = 419.00/x
  3. Step 3: Cross multiply
    468x = 645.03 × 419.00
  4. Step 4: Simplify right side
    468x = 270,264.34
  5. Step 5: Solve for x
    x = 270,264.34/468
  6. Step 6: Final answer
    x = 577.49

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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.