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Finding the Fourth Proportional to 467.60, 704.86 and 435.60

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Solution

The fourth proportional to 467.60, 704.86 and 435.60 is: 656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.60 : 704.86 = 435.60 : x
  2. Step 2: Convert to fraction form
    467.60/704.86 = 435.60/x
  3. Step 3: Cross multiply
    467.60x = 704.86 × 435.60
  4. Step 4: Simplify right side
    467.60x = 307,037.02
  5. Step 5: Solve for x
    x = 307,037.02/467.60
  6. Step 6: Final answer
    x = 656.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.