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Finding the Fourth Proportional to 1,400.32, 2,100.76 and 463.32

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Solution

The fourth proportional to 1,400.32, 2,100.76 and 463.32 is: 695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.32 : 2,100.76 = 463.32 : x
  2. Step 2: Convert to fraction form
    1,400.32/2,100.76 = 463.32/x
  3. Step 3: Cross multiply
    1,400.32x = 2,100.76 × 463.32
  4. Step 4: Simplify right side
    1,400.32x = 973,324.12
  5. Step 5: Solve for x
    x = 973,324.12/1,400.32
  6. Step 6: Final answer
    x = 695.07

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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.