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Finding the Fourth Proportional to 435.52, 651.74 and 343.58

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Solution

The fourth proportional to 435.52, 651.74 and 343.58 is: 514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.52 : 651.74 = 343.58 : x
  2. Step 2: Convert to fraction form
    435.52/651.74 = 343.58/x
  3. Step 3: Cross multiply
    435.52x = 651.74 × 343.58
  4. Step 4: Simplify right side
    435.52x = 223,924.83
  5. Step 5: Solve for x
    x = 223,924.83/435.52
  6. Step 6: Final answer
    x = 514.16

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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.