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Finding the Fourth Proportional to 675.72, 1,011.64 and 458.90

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Solution

The fourth proportional to 675.72, 1,011.64 and 458.90 is: 687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.72 : 1,011.64 = 458.90 : x
  2. Step 2: Convert to fraction form
    675.72/1,011.64 = 458.90/x
  3. Step 3: Cross multiply
    675.72x = 1,011.64 × 458.90
  4. Step 4: Simplify right side
    675.72x = 464,241.60
  5. Step 5: Solve for x
    x = 464,241.60/675.72
  6. Step 6: Final answer
    x = 687.03

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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.