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Finding the Fourth Proportional to 423.60, 583.56 and 405.60

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Solution

The fourth proportional to 423.60, 583.56 and 405.60 is: 558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.60 : 583.56 = 405.60 : x
  2. Step 2: Convert to fraction form
    423.60/583.56 = 405.60/x
  3. Step 3: Cross multiply
    423.60x = 583.56 × 405.60
  4. Step 4: Simplify right side
    423.60x = 236,691.94
  5. Step 5: Solve for x
    x = 236,691.94/423.60
  6. Step 6: Final answer
    x = 558.76

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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.