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Finding the Fourth Proportional to 507.60, 675.54 and 507.60

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Solution

The fourth proportional to 507.60, 675.54 and 507.60 is: 675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 675.54 = 507.60 : x
  2. Step 2: Convert to fraction form
    507.60/675.54 = 507.60/x
  3. Step 3: Cross multiply
    507.60x = 675.54 × 507.60
  4. Step 4: Simplify right side
    507.60x = 342,905.37
  5. Step 5: Solve for x
    x = 342,905.37/507.60
  6. Step 6: Final answer
    x = 675.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.