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Finding the Fourth Proportional to 567.80, 783.36 and 420.68

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Solution

The fourth proportional to 567.80, 783.36 and 420.68 is: 580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.80 : 783.36 = 420.68 : x
  2. Step 2: Convert to fraction form
    567.80/783.36 = 420.68/x
  3. Step 3: Cross multiply
    567.80x = 783.36 × 420.68
  4. Step 4: Simplify right side
    567.80x = 329,543.88
  5. Step 5: Solve for x
    x = 329,543.88/567.80
  6. Step 6: Final answer
    x = 580.39

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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.