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Finding the Fourth Proportional to 676.53, 1,012.53 and 578.10

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Solution

The fourth proportional to 676.53, 1,012.53 and 578.10 is: 865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.53 : 1,012.53 = 578.10 : x
  2. Step 2: Convert to fraction form
    676.53/1,012.53 = 578.10/x
  3. Step 3: Cross multiply
    676.53x = 1,012.53 × 578.10
  4. Step 4: Simplify right side
    676.53x = 585,343.59
  5. Step 5: Solve for x
    x = 585,343.59/676.53
  6. Step 6: Final answer
    x = 865.21

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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.