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Finding the Fourth Proportional to 679.48, 1,014.30 and 628.75

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Solution

The fourth proportional to 679.48, 1,014.30 and 628.75 is: 938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.48 : 1,014.30 = 628.75 : x
  2. Step 2: Convert to fraction form
    679.48/1,014.30 = 628.75/x
  3. Step 3: Cross multiply
    679.48x = 1,014.30 × 628.75
  4. Step 4: Simplify right side
    679.48x = 637,741.13
  5. Step 5: Solve for x
    x = 637,741.13/679.48
  6. Step 6: Final answer
    x = 938.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.