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Finding the Fourth Proportional to 628.60, 865.64 and 588.49

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Solution

The fourth proportional to 628.60, 865.64 and 588.49 is: 810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.60 : 865.64 = 588.49 : x
  2. Step 2: Convert to fraction form
    628.60/865.64 = 588.49/x
  3. Step 3: Cross multiply
    628.60x = 865.64 × 588.49
  4. Step 4: Simplify right side
    628.60x = 509,416.85
  5. Step 5: Solve for x
    x = 509,416.85/628.60
  6. Step 6: Final answer
    x = 810.40

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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.