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Finding the Fourth Proportional to 762.50, 1,052.25 and 452.06

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Solution

The fourth proportional to 762.50, 1,052.25 and 452.06 is: 623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.50 : 1,052.25 = 452.06 : x
  2. Step 2: Convert to fraction form
    762.50/1,052.25 = 452.06/x
  3. Step 3: Cross multiply
    762.50x = 1,052.25 × 452.06
  4. Step 4: Simplify right side
    762.50x = 475,680.14
  5. Step 5: Solve for x
    x = 475,680.14/762.50
  6. Step 6: Final answer
    x = 623.84

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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.