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Finding the Fourth Proportional to 628.39, 866.68 and 586.47

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Solution

The fourth proportional to 628.39, 866.68 and 586.47 is: 808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.39 : 866.68 = 586.47 : x
  2. Step 2: Convert to fraction form
    628.39/866.68 = 586.47/x
  3. Step 3: Cross multiply
    628.39x = 866.68 × 586.47
  4. Step 4: Simplify right side
    628.39x = 508,281.82
  5. Step 5: Solve for x
    x = 508,281.82/628.39
  6. Step 6: Final answer
    x = 808.86

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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.