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Finding the Fourth Proportional to 1,011.63, 1,520.19 and 525

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Solution

The fourth proportional to 1,011.63, 1,520.19 and 525 is: 788.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.63 : 1,520.19 = 525 : x
  2. Step 2: Convert to fraction form
    1,011.63/1,520.19 = 525/x
  3. Step 3: Cross multiply
    1,011.63x = 1,520.19 × 525
  4. Step 4: Simplify right side
    1,011.63x = 798,099.75
  5. Step 5: Solve for x
    x = 798,099.75/1,011.63
  6. Step 6: Final answer
    x = 788.92

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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.