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Finding the Fourth Proportional to 407.68, 558.86 and 400.32

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Solution

The fourth proportional to 407.68, 558.86 and 400.32 is: 548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.68 : 558.86 = 400.32 : x
  2. Step 2: Convert to fraction form
    407.68/558.86 = 400.32/x
  3. Step 3: Cross multiply
    407.68x = 558.86 × 400.32
  4. Step 4: Simplify right side
    407.68x = 223,722.84
  5. Step 5: Solve for x
    x = 223,722.84/407.68
  6. Step 6: Final answer
    x = 548.77

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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.