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Finding the Fourth Proportional to 407.12, 560.37 and 402.56

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Solution

The fourth proportional to 407.12, 560.37 and 402.56 is: 554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.12 : 560.37 = 402.56 : x
  2. Step 2: Convert to fraction form
    407.12/560.37 = 402.56/x
  3. Step 3: Cross multiply
    407.12x = 560.37 × 402.56
  4. Step 4: Simplify right side
    407.12x = 225,579.75
  5. Step 5: Solve for x
    x = 225,579.75/407.12
  6. Step 6: Final answer
    x = 554.09

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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.