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Finding the Fourth Proportional to 560.67, 773.33 and 421.29

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Solution

The fourth proportional to 560.67, 773.33 and 421.29 is: 581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.67 : 773.33 = 421.29 : x
  2. Step 2: Convert to fraction form
    560.67/773.33 = 421.29/x
  3. Step 3: Cross multiply
    560.67x = 773.33 × 421.29
  4. Step 4: Simplify right side
    560.67x = 325,794.09
  5. Step 5: Solve for x
    x = 325,794.09/560.67
  6. Step 6: Final answer
    x = 581.08

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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.