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Finding the Fourth Proportional to 762.85, 1,053.36 and 468.19

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Solution

The fourth proportional to 762.85, 1,053.36 and 468.19 is: 646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.85 : 1,053.36 = 468.19 : x
  2. Step 2: Convert to fraction form
    762.85/1,053.36 = 468.19/x
  3. Step 3: Cross multiply
    762.85x = 1,053.36 × 468.19
  4. Step 4: Simplify right side
    762.85x = 493,172.62
  5. Step 5: Solve for x
    x = 493,172.62/762.85
  6. Step 6: Final answer
    x = 646.49

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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.