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Finding the Fourth Proportional to 676.55, 1,011.75 and 578.14

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Solution

The fourth proportional to 676.55, 1,011.75 and 578.14 is: 864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.55 : 1,011.75 = 578.14 : x
  2. Step 2: Convert to fraction form
    676.55/1,011.75 = 578.14/x
  3. Step 3: Cross multiply
    676.55x = 1,011.75 × 578.14
  4. Step 4: Simplify right side
    676.55x = 584,933.15
  5. Step 5: Solve for x
    x = 584,933.15/676.55
  6. Step 6: Final answer
    x = 864.58

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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.