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Finding the Fourth Proportional to 584.60, 877.66 and 390.84

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Solution

The fourth proportional to 584.60, 877.66 and 390.84 is: 586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.60 : 877.66 = 390.84 : x
  2. Step 2: Convert to fraction form
    584.60/877.66 = 390.84/x
  3. Step 3: Cross multiply
    584.60x = 877.66 × 390.84
  4. Step 4: Simplify right side
    584.60x = 343,027.81
  5. Step 5: Solve for x
    x = 343,027.81/584.60
  6. Step 6: Final answer
    x = 586.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.