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Finding the Fourth Proportional to 1,043.20, 1,563.89 and 522.47

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Solution

The fourth proportional to 1,043.20, 1,563.89 and 522.47 is: 783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.20 : 1,563.89 = 522.47 : x
  2. Step 2: Convert to fraction form
    1,043.20/1,563.89 = 522.47/x
  3. Step 3: Cross multiply
    1,043.20x = 1,563.89 × 522.47
  4. Step 4: Simplify right side
    1,043.20x = 817,089.52
  5. Step 5: Solve for x
    x = 817,089.52/1,043.20
  6. Step 6: Final answer
    x = 783.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.