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Finding the Fourth Proportional to 587.39, 810.84 and 390.83

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Solution

The fourth proportional to 587.39, 810.84 and 390.83 is: 539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.39 : 810.84 = 390.83 : x
  2. Step 2: Convert to fraction form
    587.39/810.84 = 390.83/x
  3. Step 3: Cross multiply
    587.39x = 810.84 × 390.83
  4. Step 4: Simplify right side
    587.39x = 316,900.60
  5. Step 5: Solve for x
    x = 316,900.60/587.39
  6. Step 6: Final answer
    x = 539.51

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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.