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Finding the Fourth Proportional to 412.16, 572.50 and 405.54

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Solution

The fourth proportional to 412.16, 572.50 and 405.54 is: 563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.16 : 572.50 = 405.54 : x
  2. Step 2: Convert to fraction form
    412.16/572.50 = 405.54/x
  3. Step 3: Cross multiply
    412.16x = 572.50 × 405.54
  4. Step 4: Simplify right side
    412.16x = 232,172.16
  5. Step 5: Solve for x
    x = 232,172.16/412.16
  6. Step 6: Final answer
    x = 563.31

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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.