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Finding the Fourth Proportional to 762.69, 1,052.62 and 638.18

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Solution

The fourth proportional to 762.69, 1,052.62 and 638.18 is: 880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.69 : 1,052.62 = 638.18 : x
  2. Step 2: Convert to fraction form
    762.69/1,052.62 = 638.18/x
  3. Step 3: Cross multiply
    762.69x = 1,052.62 × 638.18
  4. Step 4: Simplify right side
    762.69x = 671,754.17
  5. Step 5: Solve for x
    x = 671,754.17/762.69
  6. Step 6: Final answer
    x = 880.77

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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.