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Finding the Fourth Proportional to 1,043.68, 1,564.64 and 523.04

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Solution

The fourth proportional to 1,043.68, 1,564.64 and 523.04 is: 784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.68 : 1,564.64 = 523.04 : x
  2. Step 2: Convert to fraction form
    1,043.68/1,564.64 = 523.04/x
  3. Step 3: Cross multiply
    1,043.68x = 1,564.64 × 523.04
  4. Step 4: Simplify right side
    1,043.68x = 818,369.31
  5. Step 5: Solve for x
    x = 818,369.31/1,043.68
  6. Step 6: Final answer
    x = 784.12

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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.