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Finding the Fourth Proportional to 435.90, 653.86 and 410.54

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Solution

The fourth proportional to 435.90, 653.86 and 410.54 is: 615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.90 : 653.86 = 410.54 : x
  2. Step 2: Convert to fraction form
    435.90/653.86 = 410.54/x
  3. Step 3: Cross multiply
    435.90x = 653.86 × 410.54
  4. Step 4: Simplify right side
    435.90x = 268,435.68
  5. Step 5: Solve for x
    x = 268,435.68/435.90
  6. Step 6: Final answer
    x = 615.82

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