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Finding the Fourth Proportional to 676.48, 1,015.80 and 555.52

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Solution

The fourth proportional to 676.48, 1,015.80 and 555.52 is: 834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.48 : 1,015.80 = 555.52 : x
  2. Step 2: Convert to fraction form
    676.48/1,015.80 = 555.52/x
  3. Step 3: Cross multiply
    676.48x = 1,015.80 × 555.52
  4. Step 4: Simplify right side
    676.48x = 564,297.22
  5. Step 5: Solve for x
    x = 564,297.22/676.48
  6. Step 6: Final answer
    x = 834.17

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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.