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Finding the Fourth Proportional to 435.12, 656.55 and 418.24

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Solution

The fourth proportional to 435.12, 656.55 and 418.24 is: 631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.12 : 656.55 = 418.24 : x
  2. Step 2: Convert to fraction form
    435.12/656.55 = 418.24/x
  3. Step 3: Cross multiply
    435.12x = 656.55 × 418.24
  4. Step 4: Simplify right side
    435.12x = 274,595.47
  5. Step 5: Solve for x
    x = 274,595.47/435.12
  6. Step 6: Final answer
    x = 631.08

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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.