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Finding the Fourth Proportional to 670.11, 926.46 and 588.09

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Solution

The fourth proportional to 670.11, 926.46 and 588.09 is: 813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.11 : 926.46 = 588.09 : x
  2. Step 2: Convert to fraction form
    670.11/926.46 = 588.09/x
  3. Step 3: Cross multiply
    670.11x = 926.46 × 588.09
  4. Step 4: Simplify right side
    670.11x = 544,841.86
  5. Step 5: Solve for x
    x = 544,841.86/670.11
  6. Step 6: Final answer
    x = 813.06

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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.