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Finding the Fourth Proportional to 656.58, 984.72 and 580.65

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Solution

The fourth proportional to 656.58, 984.72 and 580.65 is: 870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.58 : 984.72 = 580.65 : x
  2. Step 2: Convert to fraction form
    656.58/984.72 = 580.65/x
  3. Step 3: Cross multiply
    656.58x = 984.72 × 580.65
  4. Step 4: Simplify right side
    656.58x = 571,777.67
  5. Step 5: Solve for x
    x = 571,777.67/656.58
  6. Step 6: Final answer
    x = 870.84

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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.