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Finding the Fourth Proportional to 567.09, 782.09 and 420.09

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Solution

The fourth proportional to 567.09, 782.09 and 420.09 is: 579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.09 : 782.09 = 420.09 : x
  2. Step 2: Convert to fraction form
    567.09/782.09 = 420.09/x
  3. Step 3: Cross multiply
    567.09x = 782.09 × 420.09
  4. Step 4: Simplify right side
    567.09x = 328,546.09
  5. Step 5: Solve for x
    x = 328,546.09/567.09
  6. Step 6: Final answer
    x = 579.35

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1.5x scale

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.