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Finding the Fourth Proportional to 567.18, 780.81 and 419.55

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Solution

The fourth proportional to 567.18, 780.81 and 419.55 is: 577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.18 : 780.81 = 419.55 : x
  2. Step 2: Convert to fraction form
    567.18/780.81 = 419.55/x
  3. Step 3: Cross multiply
    567.18x = 780.81 × 419.55
  4. Step 4: Simplify right side
    567.18x = 327,588.84
  5. Step 5: Solve for x
    x = 327,588.84/567.18
  6. Step 6: Final answer
    x = 577.57

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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.