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Finding the Fourth Proportional to 656.19, 984.41 and 590.83

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Solution

The fourth proportional to 656.19, 984.41 and 590.83 is: 886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.19 : 984.41 = 590.83 : x
  2. Step 2: Convert to fraction form
    656.19/984.41 = 590.83/x
  3. Step 3: Cross multiply
    656.19x = 984.41 × 590.83
  4. Step 4: Simplify right side
    656.19x = 581,618.96
  5. Step 5: Solve for x
    x = 581,618.96/656.19
  6. Step 6: Final answer
    x = 886.36

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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.