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Finding the Fourth Proportional to 407.42, 558.90 and 396.63

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Solution

The fourth proportional to 407.42, 558.90 and 396.63 is: 544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.42 : 558.90 = 396.63 : x
  2. Step 2: Convert to fraction form
    407.42/558.90 = 396.63/x
  3. Step 3: Cross multiply
    407.42x = 558.90 × 396.63
  4. Step 4: Simplify right side
    407.42x = 221,676.51
  5. Step 5: Solve for x
    x = 221,676.51/407.42
  6. Step 6: Final answer
    x = 544.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.