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Finding the Fourth Proportional to 767.59, 1,059.01 and 468.72

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Solution

The fourth proportional to 767.59, 1,059.01 and 468.72 is: 646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.59 : 1,059.01 = 468.72 : x
  2. Step 2: Convert to fraction form
    767.59/1,059.01 = 468.72/x
  3. Step 3: Cross multiply
    767.59x = 1,059.01 × 468.72
  4. Step 4: Simplify right side
    767.59x = 496,383.45
  5. Step 5: Solve for x
    x = 496,383.45/767.59
  6. Step 6: Final answer
    x = 646.68

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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.