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Finding the Fourth Proportional to 676.76, 934.28 and 456.87

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Solution

The fourth proportional to 676.76, 934.28 and 456.87 is: 630.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.76 : 934.28 = 456.87 : x
  2. Step 2: Convert to fraction form
    676.76/934.28 = 456.87/x
  3. Step 3: Cross multiply
    676.76x = 934.28 × 456.87
  4. Step 4: Simplify right side
    676.76x = 426,844.50
  5. Step 5: Solve for x
    x = 426,844.50/676.76
  6. Step 6: Final answer
    x = 630.72

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Find fourth proportional to 338.38, 467.14 and 228.44
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Double scale
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1.5x scale

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.