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Finding the Fourth Proportional to 656.42, 983.46 and 584.91

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Solution

The fourth proportional to 656.42, 983.46 and 584.91 is: 876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.42 : 983.46 = 584.91 : x
  2. Step 2: Convert to fraction form
    656.42/983.46 = 584.91/x
  3. Step 3: Cross multiply
    656.42x = 983.46 × 584.91
  4. Step 4: Simplify right side
    656.42x = 575,237.78
  5. Step 5: Solve for x
    x = 575,237.78/656.42
  6. Step 6: Final answer
    x = 876.33

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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.