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Finding the Fourth Proportional to 676.84, 933.48 and 455.70

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Solution

The fourth proportional to 676.84, 933.48 and 455.70 is: 628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.84 : 933.48 = 455.70 : x
  2. Step 2: Convert to fraction form
    676.84/933.48 = 455.70/x
  3. Step 3: Cross multiply
    676.84x = 933.48 × 455.70
  4. Step 4: Simplify right side
    676.84x = 425,386.84
  5. Step 5: Solve for x
    x = 425,386.84/676.84
  6. Step 6: Final answer
    x = 628.49

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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.