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Finding the Fourth Proportional to 762.48, 1,051.72 and 704.50

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Solution

The fourth proportional to 762.48, 1,051.72 and 704.50 is: 971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.48 : 1,051.72 = 704.50 : x
  2. Step 2: Convert to fraction form
    762.48/1,051.72 = 704.50/x
  3. Step 3: Cross multiply
    762.48x = 1,051.72 × 704.50
  4. Step 4: Simplify right side
    762.48x = 740,932.35
  5. Step 5: Solve for x
    x = 740,932.35/762.48
  6. Step 6: Final answer
    x = 971.74

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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.