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Finding the Fourth Proportional to 670.83, 924.64 and 484.05

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Solution

The fourth proportional to 670.83, 924.64 and 484.05 is: 667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.83 : 924.64 = 484.05 : x
  2. Step 2: Convert to fraction form
    670.83/924.64 = 484.05/x
  3. Step 3: Cross multiply
    670.83x = 924.64 × 484.05
  4. Step 4: Simplify right side
    670.83x = 447,571.99
  5. Step 5: Solve for x
    x = 447,571.99/670.83
  6. Step 6: Final answer
    x = 667.19

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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.