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Finding the Fourth Proportional to 524.39, 723.72 and 345.09

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Solution

The fourth proportional to 524.39, 723.72 and 345.09 is: 476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.39 : 723.72 = 345.09 : x
  2. Step 2: Convert to fraction form
    524.39/723.72 = 345.09/x
  3. Step 3: Cross multiply
    524.39x = 723.72 × 345.09
  4. Step 4: Simplify right side
    524.39x = 249,748.53
  5. Step 5: Solve for x
    x = 249,748.53/524.39
  6. Step 6: Final answer
    x = 476.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.