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Finding the Fourth Proportional to 777.92, 1,072.68 and 528.75

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Solution

The fourth proportional to 777.92, 1,072.68 and 528.75 is: 729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.92 : 1,072.68 = 528.75 : x
  2. Step 2: Convert to fraction form
    777.92/1,072.68 = 528.75/x
  3. Step 3: Cross multiply
    777.92x = 1,072.68 × 528.75
  4. Step 4: Simplify right side
    777.92x = 567,179.55
  5. Step 5: Solve for x
    x = 567,179.55/777.92
  6. Step 6: Final answer
    x = 729.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.