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Finding the Fourth Proportional to 1,409.63, 2,114.69 and 485.28

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Solution

The fourth proportional to 1,409.63, 2,114.69 and 485.28 is: 728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.63 : 2,114.69 = 485.28 : x
  2. Step 2: Convert to fraction form
    1,409.63/2,114.69 = 485.28/x
  3. Step 3: Cross multiply
    1,409.63x = 2,114.69 × 485.28
  4. Step 4: Simplify right side
    1,409.63x = 1,026,214.34
  5. Step 5: Solve for x
    x = 1,026,214.34/1,409.63
  6. Step 6: Final answer
    x = 728.01

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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.