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Finding the Fourth Proportional to 1,409.74, 2,114.63 and 485.53

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Solution

The fourth proportional to 1,409.74, 2,114.63 and 485.53 is: 728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.74 : 2,114.63 = 485.53 : x
  2. Step 2: Convert to fraction form
    1,409.74/2,114.63 = 485.53/x
  3. Step 3: Cross multiply
    1,409.74x = 2,114.63 × 485.53
  4. Step 4: Simplify right side
    1,409.74x = 1,026,716.30
  5. Step 5: Solve for x
    x = 1,026,716.30/1,409.74
  6. Step 6: Final answer
    x = 728.30

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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.