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Finding the Fourth Proportional to 602, 903.48 and 345.68

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Solution

The fourth proportional to 602, 903.48 and 345.68 is: 518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    602 : 903.48 = 345.68 : x
  2. Step 2: Convert to fraction form
    602/903.48 = 345.68/x
  3. Step 3: Cross multiply
    602x = 903.48 × 345.68
  4. Step 4: Simplify right side
    602x = 312,314.97
  5. Step 5: Solve for x
    x = 312,314.97/602
  6. Step 6: Final answer
    x = 518.80

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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.