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Finding the Fourth Proportional to 435.60, 654.90 and 355.02

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Solution

The fourth proportional to 435.60, 654.90 and 355.02 is: 533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.60 : 654.90 = 355.02 : x
  2. Step 2: Convert to fraction form
    435.60/654.90 = 355.02/x
  3. Step 3: Cross multiply
    435.60x = 654.90 × 355.02
  4. Step 4: Simplify right side
    435.60x = 232,502.60
  5. Step 5: Solve for x
    x = 232,502.60/435.60
  6. Step 6: Final answer
    x = 533.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.