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Finding the Fourth Proportional to 762.69, 1,052.60 and 468.12

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Solution

The fourth proportional to 762.69, 1,052.60 and 468.12 is: 646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.69 : 1,052.60 = 468.12 : x
  2. Step 2: Convert to fraction form
    762.69/1,052.60 = 468.12/x
  3. Step 3: Cross multiply
    762.69x = 1,052.60 × 468.12
  4. Step 4: Simplify right side
    762.69x = 492,743.11
  5. Step 5: Solve for x
    x = 492,743.11/762.69
  6. Step 6: Final answer
    x = 646.06

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