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Finding the Fourth Proportional to 762.36, 1,050.72 and 657.24

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Solution

The fourth proportional to 762.36, 1,050.72 and 657.24 is: 905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.36 : 1,050.72 = 657.24 : x
  2. Step 2: Convert to fraction form
    762.36/1,050.72 = 657.24/x
  3. Step 3: Cross multiply
    762.36x = 1,050.72 × 657.24
  4. Step 4: Simplify right side
    762.36x = 690,575.21
  5. Step 5: Solve for x
    x = 690,575.21/762.36
  6. Step 6: Final answer
    x = 905.84

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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.