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Finding the Fourth Proportional to 676.60, 934.00 and 455.47

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Solution

The fourth proportional to 676.60, 934.00 and 455.47 is: 628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.60 : 934.00 = 455.47 : x
  2. Step 2: Convert to fraction form
    676.60/934.00 = 455.47/x
  3. Step 3: Cross multiply
    676.60x = 934.00 × 455.47
  4. Step 4: Simplify right side
    676.60x = 425,405.51
  5. Step 5: Solve for x
    x = 425,405.51/676.60
  6. Step 6: Final answer
    x = 628.74

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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.