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Finding the Fourth Proportional to 676.68, 933.88 and 456.10

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Solution

The fourth proportional to 676.68, 933.88 and 456.10 is: 629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.68 : 933.88 = 456.10 : x
  2. Step 2: Convert to fraction form
    676.68/933.88 = 456.10/x
  3. Step 3: Cross multiply
    676.68x = 933.88 × 456.10
  4. Step 4: Simplify right side
    676.68x = 425,942.67
  5. Step 5: Solve for x
    x = 425,942.67/676.68
  6. Step 6: Final answer
    x = 629.46

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