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Finding the Fourth Proportional to 1,405.09, 2,106.96 and 527.32

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Solution

The fourth proportional to 1,405.09, 2,106.96 and 527.32 is: 790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.09 : 2,106.96 = 527.32 : x
  2. Step 2: Convert to fraction form
    1,405.09/2,106.96 = 527.32/x
  3. Step 3: Cross multiply
    1,405.09x = 2,106.96 × 527.32
  4. Step 4: Simplify right side
    1,405.09x = 1,111,042.15
  5. Step 5: Solve for x
    x = 1,111,042.15/1,405.09
  6. Step 6: Final answer
    x = 790.73

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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.