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Finding the Fourth Proportional to 876.30, 1,210.56 and 682.32

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Solution

The fourth proportional to 876.30, 1,210.56 and 682.32 is: 942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.30 : 1,210.56 = 682.32 : x
  2. Step 2: Convert to fraction form
    876.30/1,210.56 = 682.32/x
  3. Step 3: Cross multiply
    876.30x = 1,210.56 × 682.32
  4. Step 4: Simplify right side
    876.30x = 825,989.30
  5. Step 5: Solve for x
    x = 825,989.30/876.30
  6. Step 6: Final answer
    x = 942.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.