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Finding the Fourth Proportional to 417.60, 621.12 and 405.12

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Solution

The fourth proportional to 417.60, 621.12 and 405.12 is: 602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.60 : 621.12 = 405.12 : x
  2. Step 2: Convert to fraction form
    417.60/621.12 = 405.12/x
  3. Step 3: Cross multiply
    417.60x = 621.12 × 405.12
  4. Step 4: Simplify right side
    417.60x = 251,628.13
  5. Step 5: Solve for x
    x = 251,628.13/417.60
  6. Step 6: Final answer
    x = 602.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.