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Finding the Fourth Proportional to 1,457.63, 2,186.45 and 533.19

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Solution

The fourth proportional to 1,457.63, 2,186.45 and 533.19 is: 799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.63 : 2,186.45 = 533.19 : x
  2. Step 2: Convert to fraction form
    1,457.63/2,186.45 = 533.19/x
  3. Step 3: Cross multiply
    1,457.63x = 2,186.45 × 533.19
  4. Step 4: Simplify right side
    1,457.63x = 1,165,793.28
  5. Step 5: Solve for x
    x = 1,165,793.28/1,457.63
  6. Step 6: Final answer
    x = 799.79

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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.