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Finding the Fourth Proportional to 407.77, 561.33 and 394.45

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Solution

The fourth proportional to 407.77, 561.33 and 394.45 is: 542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.77 : 561.33 = 394.45 : x
  2. Step 2: Convert to fraction form
    407.77/561.33 = 394.45/x
  3. Step 3: Cross multiply
    407.77x = 561.33 × 394.45
  4. Step 4: Simplify right side
    407.77x = 221,415.22
  5. Step 5: Solve for x
    x = 221,415.22/407.77
  6. Step 6: Final answer
    x = 542.99

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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.