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Finding the Fourth Proportional to 675.48, 1,010.60 and 521.94

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Solution

The fourth proportional to 675.48, 1,010.60 and 521.94 is: 780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.48 : 1,010.60 = 521.94 : x
  2. Step 2: Convert to fraction form
    675.48/1,010.60 = 521.94/x
  3. Step 3: Cross multiply
    675.48x = 1,010.60 × 521.94
  4. Step 4: Simplify right side
    675.48x = 527,472.56
  5. Step 5: Solve for x
    x = 527,472.56/675.48
  6. Step 6: Final answer
    x = 780.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.