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Finding the Fourth Proportional to 412.45, 567.55 and 410.20

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Solution

The fourth proportional to 412.45, 567.55 and 410.20 is: 564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.45 : 567.55 = 410.20 : x
  2. Step 2: Convert to fraction form
    412.45/567.55 = 410.20/x
  3. Step 3: Cross multiply
    412.45x = 567.55 × 410.20
  4. Step 4: Simplify right side
    412.45x = 232,809.01
  5. Step 5: Solve for x
    x = 232,809.01/412.45
  6. Step 6: Final answer
    x = 564.45

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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.