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Finding the Fourth Proportional to 676.45, 932.48 and 528.83

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Solution

The fourth proportional to 676.45, 932.48 and 528.83 is: 728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.45 : 932.48 = 528.83 : x
  2. Step 2: Convert to fraction form
    676.45/932.48 = 528.83/x
  3. Step 3: Cross multiply
    676.45x = 932.48 × 528.83
  4. Step 4: Simplify right side
    676.45x = 493,117.41
  5. Step 5: Solve for x
    x = 493,117.41/676.45
  6. Step 6: Final answer
    x = 728.98

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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.