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Finding the Fourth Proportional to 415.80, 583.20 and 415.80

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Solution

The fourth proportional to 415.80, 583.20 and 415.80 is: 583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.80 : 583.20 = 415.80 : x
  2. Step 2: Convert to fraction form
    415.80/583.20 = 415.80/x
  3. Step 3: Cross multiply
    415.80x = 583.20 × 415.80
  4. Step 4: Simplify right side
    415.80x = 242,494.56
  5. Step 5: Solve for x
    x = 242,494.56/415.80
  6. Step 6: Final answer
    x = 583.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.