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Finding the Fourth Proportional to 407.60, 566.27 and 403.81

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Solution

The fourth proportional to 407.60, 566.27 and 403.81 is: 561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.60 : 566.27 = 403.81 : x
  2. Step 2: Convert to fraction form
    407.60/566.27 = 403.81/x
  3. Step 3: Cross multiply
    407.60x = 566.27 × 403.81
  4. Step 4: Simplify right side
    407.60x = 228,665.49
  5. Step 5: Solve for x
    x = 228,665.49/407.60
  6. Step 6: Final answer
    x = 561.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.