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Finding the Fourth Proportional to 677.67, 934.07 and 467.49

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Solution

The fourth proportional to 677.67, 934.07 and 467.49 is: 644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.67 : 934.07 = 467.49 : x
  2. Step 2: Convert to fraction form
    677.67/934.07 = 467.49/x
  3. Step 3: Cross multiply
    677.67x = 934.07 × 467.49
  4. Step 4: Simplify right side
    677.67x = 436,666.05
  5. Step 5: Solve for x
    x = 436,666.05/677.67
  6. Step 6: Final answer
    x = 644.36

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Half scale
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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.