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Finding the Fourth Proportional to 676.57, 933.68 and 440.63

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Solution

The fourth proportional to 676.57, 933.68 and 440.63 is: 608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.57 : 933.68 = 440.63 : x
  2. Step 2: Convert to fraction form
    676.57/933.68 = 440.63/x
  3. Step 3: Cross multiply
    676.57x = 933.68 × 440.63
  4. Step 4: Simplify right side
    676.57x = 411,405.22
  5. Step 5: Solve for x
    x = 411,405.22/676.57
  6. Step 6: Final answer
    x = 608.08

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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.