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Finding the Fourth Proportional to 810.62, 1,216.40 and 675.32

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Solution

The fourth proportional to 810.62, 1,216.40 and 675.32 is: 1,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.62 : 1,216.40 = 675.32 : x
  2. Step 2: Convert to fraction form
    810.62/1,216.40 = 675.32/x
  3. Step 3: Cross multiply
    810.62x = 1,216.40 × 675.32
  4. Step 4: Simplify right side
    810.62x = 821,459.25
  5. Step 5: Solve for x
    x = 821,459.25/810.62
  6. Step 6: Final answer
    x = 1,013.37

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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.