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Finding the Fourth Proportional to 679.35, 1,014.11 and 652.01

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Solution

The fourth proportional to 679.35, 1,014.11 and 652.01 is: 973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.35 : 1,014.11 = 652.01 : x
  2. Step 2: Convert to fraction form
    679.35/1,014.11 = 652.01/x
  3. Step 3: Cross multiply
    679.35x = 1,014.11 × 652.01
  4. Step 4: Simplify right side
    679.35x = 661,201.53
  5. Step 5: Solve for x
    x = 661,201.53/679.35
  6. Step 6: Final answer
    x = 973.29

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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.